How can I calculate the analytical derivative of a function?

Question

How can I analytically differentiate in Python?

E.g:

d/dx (x^3 * L * lambda /(pi*d))

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Additional:

Answer 1

You can use sympy to differentiate a function symbolically

>>> from sympy import *
>>> x, L, lamb, d = symbols('x L lamb d')
>>> f = x**3 * L * lamb / (pi * d)
>>> f
L*lamb*x**3/(pi*d)
>>> diff(f, x)
3*L*lamb*x**2/(pi*d)