1 3.3 - Derivatives of Trigonometric Functions. 2 Derivative Definitions We can now use the limit of the difference quotient and the sum/difference formulas.

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Presentation transcript:

Derivatives of Trigonometric Functions

2 Derivative Definitions We can now use the limit of the difference quotient and the sum/difference formulas for trigonometric functions to determine the following derivatives.

3 Try These Find the derivative.

4 Examples 1. Find the equation of the tangent line to the curve at the point. 2. Determine

5 Limit Definitions Since, Therefore,

6 Limit Definitions

7 Try These In both of the previous definitions, θ can take on many forms. Here are a few examples.

8 Try These Evaluate. A common effective strategy is to separate the quotient into a product.