PLEASE HELP. GOOGLE HAS FAILED ME.
Suppose f(x)=sin(pi cos(x))
On any interval where the inverse function y=f^-1(x) exists, the derivative of f^-1(x) with respect to x is:
A. -1/(cos(pi cos x)
B. -1/(pi sin(x) cos( pi cos(x)))
C. -1/(pi sin(y) cos(pi cos(y))
D. -1/(cos(pi cos(y))
E, -1/(sin(y) cos(pi cos(y))