Python partial derivatives easy

Question

I'm interested in computing partial derivatives in Python. I've seen functions which compute derivatives for single variable functions, 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?

Answer 1

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

Answer 2

Use sympy

---

From their 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)