Asked by James Bond

Suppose f is a one-to-one, differentiable function and its inverse function f−1 is also differentiable. One can show, using implicit differentiation (do it!), that

f(^−1)′(x)=1/ f′(f^−1(x))

Find (f^−1)′(−4) if f(5)=−4 and f′(5)=2/7.

(f^−1)′(−4)=