Status: Valid
Owner: ----
Labels: Type-Defect Priority-Medium
New issue 3582 by [email protected]: The chain rule should take
derivatives with respect to functions when it can
http://code.google.com/p/sympy/issues/detail?id=3582
As reported on the mailing list:
x=Symbol('x')
y=Symbol('y')
t=Symbol('t')
f=Function('f')
u=f(x,t)
phi=Function('phi')
Phi = phi(x,t,u)
part=Phi
total=diff(part,x)
print total
Derivative(f(x, t), x)*Subs(Derivative(phi(x, t, _xi_3), _xi_3), (_xi_3,),
(f(x, t),)) + Derivative(phi(x, t, f(x, t)), x)
The answer should contain the derivative with respect to the function f(x,
t). Furthermore, Subs.doit() should make this replacement.
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