Learning Outcomes
 Understand the derivative of an inverse function.
 Calculate derivatives of the standard inverse trigonometric functions.
Textbook
 Chapter 3.7 Derivatives of Inverse Functions
Textbook Assignment
 p. 306: 265, 267, 279283 all, 287
WeBWork Assignment
 DerivativesInverses
Exit problems of the session

Find the derivative of the following functions:
(a). (b). (c).
Key Concepts
 Differentiation formulas for the inverse trigonometric functions.
Videos and Practice Problems of Selected Topics
 Derivatives of inverse functions from equation (5:03) Given and let be the inverse function of . Notice that . Find .
 Derivatives of inverse sine function (4:55) Deriving the formula of inverse sine function, .
 Derivatives of inverse cosine function (3:43) Deriving the formula of inverse cosine function, .
 Derivatives of inverse tangent function (6:01) Deriving the formula of inverse tangent function, .
 * Practice: Derivatives of inverse trigonometric functions. (4 problems)