# Derivatives of inverse functions

### 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