The derivative of an inverse:

Question

Suppose that 𝑔=𝑓^−1 (f inverse) . If 𝑔(3)=2 , what is 𝑔′(3) ? Express your answer solely in terms of 𝑓 , not 𝑔 .

Answer 1

if g(3) = 2, then f(2) = 3
g'(3) = 1/f'(2)

Answer 2

thanks! I actually had that first but my formatting was wrong when entering it in.