Question

Let f be a differentiable function such that f(-4)=12, f(9)=-4, f'(4)=-6, and f'(9)=3. The function g is differentiable and g(x)=finverse(x). What is the value of g'(-4)?

Answer 1

My solution to the problem is as follows:

g'(4) = 1/f' (f^-1(-4)) = 1/f'( g(-4) )

By simplifying and calculating using your calculator, you can now arrive at the value of g'(4)

I hope my answer has come to your help. God bless and have a nice day ahead!