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

Question

(f−1)′(x)=1/f′(f−1(x))
If f(4)=5 and f′(4)=2/3, find (f−1)(5).

(f−1)′(5)=

Answer 1

copy/paste does not work well here. Your special symbols are all mangled. Try just typing, using

f^-1(x) for f inverse