45 - Derivatives and integrals of Inverse Trig Functions

How are the ideas of inverse functions applied to find the derivatives and integrals of inverse trigonometric functions?

Practice

5.6 # 5,41,47,49,61 ♦ 5.7 # 1,13,65
CH 5 Review # 15, 17, 21, 47, 49, 67, 69, 71

Vocabulary

$arcsin(x)$, $arccos(x)$, $arctan(x)$

Study Questions

  1. Why do we look at restricted domains when looking at inverse trigonometric functions?
  2. How do we find derivatives and integrals of inverse trigonometric functions?

Resources

  1. Slide Deck: Lesson-45-Inverse-Trig-functions