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Python Partial Derivatives

I am interested in calculating partial derivatives in Python. I've seen functions that calculate derivatives for individual variables, but not others.

It would be great to find something that did the following

    f(x,y,z) = 4xy + xsin(z)+ x^3 + z^8y
    part_deriv(function = f, variable = x)
    output = 4y + sin(z) +3x^2

Has anyone seen anything like this?

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2 answers


use sympy 



>>> from sympy import symbols, diff
>>> x, y, z = symbols('x y z', real=True)
>>> f = 4*x*y + x*sin(z) + x**3 + z**8*y
>>> diff(f, x)
4*y + sin(z) + 3*x**2
+6


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Use sympy

From the Docs :



>>> diff(sin(x)*exp(x), x)
 x           x
ℯ ⋅sin(x) + ℯ ⋅cos(x)

and for your example:

>>> diff(4*x*y + x*sin(z)+ x**3 + z**8*y,x)
3x**2+4*y+sin(z)
+2


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