3.8 Derivatives of Inverse Trigonometric Functions

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Presentation transcript:

3.8 Derivatives of Inverse Trigonometric Functions Objective: Students will be able to calculate derivatives of functions involving inverse trigonometric functions

Inverse Refresher

The graph of the inverse of a function f can be obtained by reflecting the graph of f across the line y=x. A tangent line on the graph of the function f at a particular point would also be reflected.

Mr. Narwhal will have to display a little more patience as we take time to introduce a new notation.

Let’s now examine trigonometric inverses Let’s now examine trigonometric inverses. First, let’s have a moment of recall…

Derivatives of Inverse Trigonometric Functions u is a function of x These formulas already have the chain rule built into them.