8.2 Derivatives of Inverse Trig Functions

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Presentation transcript:

8.2 Derivatives of Inverse Trig Functions Lewis and Clark Caverns, Montana Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 1993

Review of Inverse Trig Functions Function Inverse Domain Range You may find the information about cosecant, secant, and cotangent in your textbook. (They are of less importance)

We can use implicit differentiation to find:

We can use implicit differentiation to find: But so is positive.

We could use the same technique to find and . 1 sec d x dx -

Example: Find for:

Example: Find for:

Summary of Integrals Involving Inverse Trig Functions

Example: Find:

Example: Find:

Example: Find: