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1
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You are an expert in calculus. Differentiate the expression x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x
|
1
|
1
|
You are an expert in calculus. Differentiate the expression 2*x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
2*x
|
2
|
1
|
You are an expert in calculus. Differentiate the expression x**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**x
|
x**x*(log(x) + 1)
|
1
|
You are an expert in calculus. Differentiate the expression cosh(x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
cosh(x)
|
sinh(x)
|
1
|
You are an expert in calculus. Differentiate the expression x**2. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**2
|
2*x
|
1
|
You are an expert in calculus. Differentiate the expression -(-3/4)**x*(log(3/4) + I*pi)/(-log(3) + 2*log(2) - I*pi). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-(-3/4)**x*(log(3/4) + I*pi)/(-log(3) + 2*log(2) - I*pi)
|
(-3/4)**x*(log(3/4) + I*pi)
|
1
|
You are an expert in calculus. Differentiate the expression -x*exp(-1). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-x*exp(-1)
|
-exp(-1)
|
1
|
You are an expert in calculus. Differentiate the expression x**5. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**5
|
5*x**4
|
1
|
You are an expert in calculus. Differentiate the expression sqrt(x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
sqrt(x)
|
1/(2*sqrt(x))
|
1
|
You are an expert in calculus. Differentiate the expression -x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-x
|
-1
|
1
|
You are an expert in calculus. Differentiate the expression E*x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
E*x
|
E
|
1
|
You are an expert in calculus. Differentiate the expression -(-1/2)**x*(-log(2) + I*pi)/(log(2) - I*pi). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-(-1/2)**x*(-log(2) + I*pi)/(log(2) - I*pi)
|
(-1/2)**x*(-log(2) + I*pi)
|
1
|
You are an expert in calculus. Differentiate the expression x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x
|
1
|
1
|
You are an expert in calculus. Differentiate the expression x**(1/4). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**(1/4)
|
1/(4*x**(3/4))
|
1
|
You are an expert in calculus. Differentiate the expression (-100)**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(-100)**x
|
(-100)**x*(log(100) + I*pi)
|
1
|
You are an expert in calculus. Differentiate the expression x**pi. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**pi
|
pi*x**pi/x
|
1
|
You are an expert in calculus. Differentiate the expression Piecewise((2*acosh(sqrt(2)*sqrt(x + 1)/2), Abs(x + 1) > 2), (-2*I*asin(sqrt(2)*sqrt(x + 1)/2), True)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
Piecewise((2*acosh(sqrt(2)*sqrt(x + 1)/2), Abs(x + 1) > 2), (-2*I*asin(sqrt(2)*sqrt(x + 1)/2), True))
|
1/(sqrt(x - 1)*sqrt(x + 1))
|
1
|
You are an expert in calculus. Differentiate the expression x**log(10). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**log(10)
|
x**log(10)*log(10)/x
|
2
|
You are an expert in calculus. Differentiate the expression atan(2*x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
atan(2*x)
|
2/(4*x**2 + 1)
|
2
|
You are an expert in calculus. Differentiate the expression (4/3)**(1/5 - x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(4/3)**(1/5 - x)
|
(4/3)**(1/5 - x)*log(3/4)
|
2
|
You are an expert in calculus. Differentiate the expression -log(2)/x**2. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-log(2)/x**2
|
2*log(2)/x**3
|
2
|
You are an expert in calculus. Differentiate the expression 2*x/3. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
2*x/3
|
2/3
|
2
|
You are an expert in calculus. Differentiate the expression 5**(1/3)/x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
5**(1/3)/x
|
1/x - (x + 5**(1/3))/x**2
|
2
|
You are an expert in calculus. Differentiate the expression (-4)**x*x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(-4)**x*x
|
(-4)**x*x*(log(4) + I*pi) + (-4)**x
|
2
|
You are an expert in calculus. Differentiate the expression (x - 2)**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(x - 2)**x
|
(x - 2)**x*(x/(x - 2) + log(x - 2))
|
2
|
You are an expert in calculus. Differentiate the expression -x**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-x**x
|
-x**x*(log(x) + 1)
|
2
|
You are an expert in calculus. Differentiate the expression -x**2*log(2). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-x**2*log(2)
|
-2*x*log(2)
|
2
|
You are an expert in calculus. Differentiate the expression x*tan(x) - log(tan(x)**2 + 1)/2 - log(cos(x)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x*tan(x) - log(tan(x)**2 + 1)/2 - log(cos(x))
|
x*(tan(x)**2 + 1) + tan(x)
|
2
|
You are an expert in calculus. Differentiate the expression x**(x + sqrt(5)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**(x + sqrt(5))
|
x**(x + sqrt(5))*(log(x) + (x + sqrt(5))/x)
|
2
|
You are an expert in calculus. Differentiate the expression x + x**exp(2). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x + x**exp(2)
|
1 + x**exp(2)*exp(2)/x
|
2
|
You are an expert in calculus. Differentiate the expression x**2. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**2
|
2*x
|
2
|
You are an expert in calculus. Differentiate the expression x + x**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x + x**x
|
x**x*(log(x) + 1) + 1
|
2
|
You are an expert in calculus. Differentiate the expression x*(-1 + sqrt(5)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x*(-1 + sqrt(5))
|
-1 + sqrt(5)
|
2
|
You are an expert in calculus. Differentiate the expression x**exp(-3). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**exp(-3)
|
x**exp(-3)*exp(-3)/x
|
2
|
You are an expert in calculus. Differentiate the expression tan(x**2). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
tan(x**2)
|
2*x*(tan(x**2)**2 + 1)
|
2
|
You are an expert in calculus. Differentiate the expression (100/x)**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(100/x)**x
|
(100/x)**x*(log(100/x) - 1)
|
2
|
You are an expert in calculus. Differentiate the expression (2/3 - x)**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(2/3 - x)**x
|
(2/3 - x)**x*(-x/(2/3 - x) + log(2/3 - x))
|
2
|
You are an expert in calculus. Differentiate the expression x**(3*x/4). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**(3*x/4)
|
x**(3*x/4)*(3*log(x)/4 + 3/4)
|
2
|
You are an expert in calculus. Differentiate the expression x**(1/3). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**(1/3)
|
1/(3*x**(2/3))
|
2
|
You are an expert in calculus. Differentiate the expression (-50)**(-x/10). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(-50)**(-x/10)
|
(-log(50)/10 - I*pi/10)/(-50)**(x/10)
|
2
|
You are an expert in calculus. Differentiate the expression 20/x**2. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
20/x**2
|
-40/x**3
|
2
|
You are an expert in calculus. Differentiate the expression x**2 - 2**(1/3)*x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**2 - 2**(1/3)*x
|
2*x - 2**(1/3)
|
2
|
You are an expert in calculus. Differentiate the expression x + x**(-3). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x + x**(-3)
|
1 - 3/x**4
|
2
|
You are an expert in calculus. Differentiate the expression x/3**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x/3**x
|
-x*log(3)/3**x + 3**(-x)
|
2
|
You are an expert in calculus. Differentiate the expression x*cosh(x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x*cosh(x)
|
x*sinh(x) + cosh(x)
|
2
|
You are an expert in calculus. Differentiate the expression x*exp(x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x*exp(x)
|
x*exp(x) + exp(x)
|
2
|
You are an expert in calculus. Differentiate the expression x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x
|
1
|
2
|
You are an expert in calculus. Differentiate the expression x**(-2). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**(-2)
|
-2/x**3
|
2
|
You are an expert in calculus. Differentiate the expression -x + x**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-x + x**x
|
x**x*(log(x) + 1) - 1
|
2
|
You are an expert in calculus. Differentiate the expression (-x - 3/4)**(1/4). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(-x - 3/4)**(1/4)
|
-1/(4*(-x - 3/4)**(3/4))
|
2
|
You are an expert in calculus. Differentiate the expression x + 1/(4*x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x + 1/(4*x)
|
1 - 1/(4*x**2)
|
2
|
You are an expert in calculus. Differentiate the expression -x**2*log(3). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-x**2*log(3)
|
-2*x*log(3)
|
2
|
You are an expert in calculus. Differentiate the expression (-log(3))**(x + 1/2). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(-log(3))**(x + 1/2)
|
(-log(3))**(x + 1/2)*(log(log(3)) + I*pi)
|
2
|
You are an expert in calculus. Differentiate the expression -sqrt(3)*x**2/3. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-sqrt(3)*x**2/3
|
-2*sqrt(3)*x/3
|
2
|
You are an expert in calculus. Differentiate the expression -5**(2/3)*x**2/5. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-5**(2/3)*x**2/5
|
-2*5**(2/3)*x/5
|
2
|
You are an expert in calculus. Differentiate the expression -2/(3*x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-2/(3*x)
|
-1/x - (-x - 2/3)/x**2
|
2
|
You are an expert in calculus. Differentiate the expression x - x**log(2). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x - x**log(2)
|
1 - x**log(2)*log(2)/x
|
2
|
You are an expert in calculus. Differentiate the expression (2*x)**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(2*x)**x
|
(2*x)**x*(log(2*x) + 1)
|
2
|
You are an expert in calculus. Differentiate the expression RootSum(4*_z**2 + 1, Lambda(_i, _i*log(2*_i + x**x))). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
RootSum(4*_z**2 + 1, Lambda(_i, _i*log(2*_i + x**x)))
|
x**x*(log(x) + 1)/(x**(2*x) + 1)
|
5
|
You are an expert in calculus. Differentiate the expression -x*x**x + x*(log(2) + 1)/log(2). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-x*x**x + x*(log(2) + 1)/log(2)
|
-x*x**x*(log(x) + 1) - x**x + 1 + 1/log(2)
|
5
|
You are an expert in calculus. Differentiate the expression Piecewise(((-x)**(4*x + 40), x <= 0), (x**(4*x + 40), True)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
Piecewise(((-x)**(4*x + 40), x <= 0), (x**(4*x + 40), True))
|
((4*x + 40)*sign(x)/Abs(x) + 4*log(Abs(x)))*Abs(x)**(4*x + 40)
|
5
|
You are an expert in calculus. Differentiate the expression x**2 + x*x**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**2 + x*x**x
|
x*(x**x*(log(x) + 1) + 1) + x + x**x
|
5
|
You are an expert in calculus. Differentiate the expression x*atanh(x) + (-1/(2*x))**x + log(x + 1) - log(x**2 - 1)/2 - atanh(x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x*atanh(x) + (-1/(2*x))**x + log(x + 1) - log(x**2 - 1)/2 - atanh(x)
|
x/(1 - x**2) + (-1/(2*x))**x*(log(-1/(2*x)) - 1) + atanh(x)
|
5
|
You are an expert in calculus. Differentiate the expression (-3*x - log(3)/x)**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(-3*x - log(3)/x)**x
|
(-3*x - log(3)/x)**x*(x*(-3 + log(3)/x**2)/(-3*x - log(3)/x) + log(-3*x - log(3)/x))
|
5
|
You are an expert in calculus. Differentiate the expression 2/(3*x**2). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
2/(3*x**2)
|
-4/(3*x**3)
|
5
|
You are an expert in calculus. Differentiate the expression x/2. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x/2
|
1/2
|
5
|
You are an expert in calculus. Differentiate the expression x**(x + sqrt(7)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**(x + sqrt(7))
|
x**(x + sqrt(7))*(log(x) + (x + sqrt(7))/x)
|
5
|
You are an expert in calculus. Differentiate the expression 3*x - pi/x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
3*x - pi/x
|
3 + pi/x**2
|
5
|
You are an expert in calculus. Differentiate the expression x**2 + 2*log(10)/(x + log(10)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**2 + 2*log(10)/(x + log(10))
|
2*x + 2*x/(x + log(10))**2 - 2/(x + log(10))
|
5
|
You are an expert in calculus. Differentiate the expression 3**(E/2)*x*exp(-2*x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
3**(E/2)*x*exp(-2*x)
|
-2*3**(E/2)*x*exp(-2*x) + 3**(E/2)*exp(-2*x)
|
5
|
You are an expert in calculus. Differentiate the expression x - 2**(1/3)/x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x - 2**(1/3)/x
|
(x + 1)/x + (x - 2**(1/3))/x - (x + 1)*(x - 2**(1/3))/x**2
|
5
|
You are an expert in calculus. Differentiate the expression 3*x + (-x/20)**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
3*x + (-x/20)**x
|
(-x/20)**x*(log(-x/20) + 1) + 3
|
5
|
You are an expert in calculus. Differentiate the expression (-x + sqrt(5))**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
(-x + sqrt(5))**x
|
(-x + sqrt(5))**x*(-x/(-x + sqrt(5)) + log(-x + sqrt(5)))
|
5
|
You are an expert in calculus. Differentiate the expression exp(-2**(2/3)/2)*log(x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
exp(-2**(2/3)/2)*log(x)
|
exp(-2**(2/3)/2)/x
|
5
|
You are an expert in calculus. Differentiate the expression x**(-x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**(-x)
|
(-log(x) - 1)/x**x
|
5
|
You are an expert in calculus. Differentiate the expression -log(x**x - 1)/2 + log(x**x + 1)/2. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-log(x**x - 1)/2 + log(x**x + 1)/2
|
x**x*(log(x) + 1)/(1 - x**(2*x))
|
5
|
You are an expert in calculus. Differentiate the expression -(-log(3)*log(10) + 1)/(x*log(3)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
-(-log(3)*log(10) + 1)/(x*log(3))
|
-1/(x*log(3)) - (-(x + 1)/log(3) + log(10))/x**2
|
5
|
You are an expert in calculus. Differentiate the expression x**2 - x*x**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
x**2 - x*x**x
|
x*(-x**x*(log(x) + 1) + 1) + x - x**x
|
5
|
You are an expert in calculus. Differentiate the expression 3*x**2*x**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
3*x**2*x**x
|
3*x**2*x**x*(log(x) + 1) + 6*x*x**x
|
5
|
You are an expert in calculus. Differentiate the expression 3/(2*x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
|
3/(2*x)
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-3/(2*x**2)
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5
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You are an expert in calculus. Differentiate the expression x**(1 - log(3))*(2 - exp(-1))/(1 - log(3)) - (-2*E*x/(-E*x**log(3) + E*x**log(3)*log(3)) + x/(-E*x**log(3) + E*x**log(3)*log(3)))*log(3). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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x**(1 - log(3))*(2 - exp(-1))/(1 - log(3)) - (-2*E*x/(-E*x**log(3) + E*x**log(3)*log(3)) + x/(-E*x**log(3) + E*x**log(3)*log(3)))*log(3)
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(2 - exp(-1))/x**log(3) - (-x*exp(-1) + 2*x)*log(3)/(x*x**log(3))
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5
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You are an expert in calculus. Differentiate the expression x**2 + x**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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x**2 + x**x
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2*x + x**x*(log(x) + 1)
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5
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You are an expert in calculus. Differentiate the expression 1/(2**(x/3) + 2*x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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1/(2**(x/3) + 2*x)
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(-2**(x/3)*log(2)/3 - 2)/(2**(x/3) + 2*x)**2
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5
|
You are an expert in calculus. Differentiate the expression -(-E - 1 + log(2))/(x + log(2)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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-(-E - 1 + log(2))/(x + log(2))
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1/(x + log(2)) - (x + 1 + E)/(x + log(2))**2
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5
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You are an expert in calculus. Differentiate the expression 2*x**2*exp(2). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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2*x**2*exp(2)
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4*x*exp(2)
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5
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You are an expert in calculus. Differentiate the expression -sqrt(2)*x**2. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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-sqrt(2)*x**2
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-2*sqrt(2)*x
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5
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You are an expert in calculus. Differentiate the expression x + x**x*(-x - exp(2) + 2**(1/3)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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x + x**x*(-x - exp(2) + 2**(1/3))
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x**x*(log(x) + 1)*(-x - exp(2) + 2**(1/3)) - x**x + 1
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5
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You are an expert in calculus. Differentiate the expression x**x*(-x - log(2)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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x**x*(-x - log(2))
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x**x*(-x - log(2))*(log(x) + 1) - x**x
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5
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You are an expert in calculus. Differentiate the expression -x**3 + 4*x**2/3 - 3**(1/4)*x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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-x**3 + 4*x**2/3 - 3**(1/4)*x
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-x**2 + x*(4/3 - 2*x) + 4*x/3 - 3**(1/4)
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5
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You are an expert in calculus. Differentiate the expression x + x**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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x + x**x
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x**x*(log(x) + 1) + 1
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5
|
You are an expert in calculus. Differentiate the expression 2*x**2 + x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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2*x**2 + x
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4*x + 1
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5
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You are an expert in calculus. Differentiate the expression 2*x**2. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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2*x**2
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4*x
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5
|
You are an expert in calculus. Differentiate the expression x**3 - x**2 + x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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x**3 - x**2 + x
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x**2 + x*(2*x - 1) - x + 1
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5
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You are an expert in calculus. Differentiate the expression 2*x/x**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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2*x/x**x
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2*x*(-log(x) - 1)/x**x + 2/x**x
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5
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You are an expert in calculus. Differentiate the expression x**(-sqrt(x)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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x**(-sqrt(x))
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(-log(x)/(2*sqrt(x)) - 1/sqrt(x))/x**(sqrt(x))
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5
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You are an expert in calculus. Differentiate the expression x**2 + x*asin(x) - 10*x*exp(2). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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x**2 + x*asin(x) - 10*x*exp(2)
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x*(1 + 1/sqrt(1 - x**2)) + x + asin(x) - 10*exp(2)
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5
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You are an expert in calculus. Differentiate the expression 2*x*exp(-(1/5 - x)*log(x)/2). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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2*x*exp(-(1/5 - x)*log(x)/2)
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-x*x**(1/5 - x)*x**(x - 1/5)*(-log(x) + (1/5 - x)/x)/sqrt(x**(1/5 - x)) + 2/sqrt(x**(1/5 - x))
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5
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You are an expert in calculus. Differentiate the expression exp(x*(x + 1)). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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exp(x*(x + 1))
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(2*x + 1)*exp(x*(x + 1))
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5
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You are an expert in calculus. Differentiate the expression -x + x**x + sinh(x)**x. Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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-x + x**x + sinh(x)**x
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x**x*(log(x) + 1) + (x*cosh(x)/sinh(x) + log(sinh(x)))*sinh(x)**x - 1
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5
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You are an expert in calculus. Differentiate the expression x*x**(x + 1) + exp(x). Please do not use latex, just directly return the result equation in python friendly format but not using any libraries (math/numpy,...) and in brackets [] without explanation or commentary.
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x*x**(x + 1) + exp(x)
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x*x**(x + 1)*(log(x) + (x + 1)/x) + x**(x + 1) + exp(x)
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