# Derivatives of inverse functions

Derivatives of inverse functions including inverse trig.

### Problem

Let f and g be inverse functions.
The following table lists a few values of f, g, and g, prime.
xf, left parenthesis, x, right parenthesisg, left parenthesis, x, right parenthesisg, prime, left parenthesis, x, right parenthesis
minus, 354minus, start fraction, 1, divided by, 4, end fraction
4minus, 322
f, prime, left parenthesis, 4, right parenthesis, equals