Learning Outcomes

1. Understand the derivative of an inverse function.
2. Calculate derivatives of the standard inverse trigonometric functions.

Textbook

• Chapter 3.7   Derivatives of Inverse Functions

Textbook Assignment

• p. 306:    265, 267, 279-283 all, 287

WeBWork Assignment

• Derivatives-Inverses

Exit problems of the session

1. 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

1. Derivatives of inverse functions from equation (5:03) Given and let be the inverse function of .  Notice that .  Find .
2. Derivatives of inverse sine function (4:55) Deriving the formula of inverse sine function, 3. Derivatives of inverse cosine function (3:43) Deriving the formula of inverse cosine function, .
4. Derivatives of inverse tangent function (6:01) Deriving the formula of inverse tangent function, .
5. * Practice: Derivatives of inverse trigonometric functions. (4 problems)