Implicit differentiation with Python 3?

Question

How can we derivate a implicit equation in Python 3? 
Example `x^2+y^2=25` differentiation is: `dy/dx=-x/y`, when try this:

from sympy import *

init_printing(use_unicode=True)

x = symbols('x')
  y = Function('y')(x)

eq = x**2+y**2-25
  sol = diff(eq, x)
  print(sol)

But it shows:

2*x + 2*y(x)*Derivative(y(x), x)

How can get `-x/y`?

Mark M. · Accepted Answer

Use the "idiff: function in SymPy.

1 Expert Answer