Question: (a) Suppose f is a one-to-one differentiable function and its inverse function f-1 is also differentiable. Use implicit differentiation to show that provided that the

(a) Suppose f is a one-to-one differentiable function and its inverse function f-1 is also differentiable. Use implicit differentiation to show that
((x) = f'(f(x))

provided that the denominator is not 0.
(b) If f(4) = 5 and f(4) = 2/3 , find (f-1)'(5).

((x) = f'(f(x))

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