Derivatives of Trigonometric Functions

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Presentation transcript:

Derivatives of Trigonometric Functions Chapter 3 Derivatives Section 3.5 Derivatives of Trigonometric Functions

Quick Review

Quick Review

Quick Review Solutions

Quick Review Solutions

What you’ll learn about Derivatives of the sine and cosine functions Modeling harmonic motion Jerk as the derivative of acceleration Derivatives of the tangent, cotangent, secant, and cosecant functions Tangent and normal lines … 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

Example Derivative of the Other Basic Trigonometric Functions