3.5 Derivatives of Trigonometric Functions. What you’ll learn about Derivative of the Sine Function Derivative of the Cosine Function Simple Harmonic.

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Presentation transcript:

3.5 Derivatives of Trigonometric Functions

What you’ll learn about Derivative of the Sine Function Derivative of the Cosine Function Simple Harmonic Motion Jerk Derivatives of Other Basic Trigonometric Functions … and why The derivatives of sines and cosines play a key role in describing periodic change.

Derivative of the Sine Function

Derivative of the Cosine Function

Example Finding the Derivative of the Sine and Cosine Functions

Simple Harmonic Motion The motion of a weight bobbing up and down on the end of a string is an example of simple harmonic motion.

Example Simple Harmonic Motion

Jerk

Derivative of the Other Basic Trigonometric Functions

Example Derivative of the Other Basic Trigonometric Functions