# Derivatives of inverse functions

### Problem

Let f and g be inverse functions.
The following table lists a few values of f, g, and f, prime.
xf, left parenthesis, x, right parenthesisg, left parenthesis, x, right parenthesisf, prime, left parenthesis, x, right parenthesis
219start fraction, 1, divided by, 3, end fraction
9210start fraction, 1, divided by, 12, end fraction
g, prime, left parenthesis, 2, right parenthesis, equals
Do 4 problems