# Derivatives of inverse functions

Practice the relationship between the derivatives of inverse functions:  if f and g are inverse functions, then f’(x)=1/(g’(f(x)).

### Problem

Let g and h be inverse functions.
The following table lists a few values of g, h, and g, prime.
xg, left parenthesis, x, right parenthesish, left parenthesis, x, right parenthesisg, prime, left parenthesis, x, right parenthesis
1minus, 63start fraction, 1, divided by, 2, end fraction
312minus, 2
h, prime, left parenthesis, 1, right parenthesis, equals