Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Derivatives of Trigonometric Functions Section 3.5.

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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Derivatives of Trigonometric Functions Section 3.5

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 2 Quick Review

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 3 Quick Review

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 4 Quick Review Solutions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 5 Quick Review Solutions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 6 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.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 7 Derivative of the Sine Function

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 8 Derivative of the Cosine Function

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 3- 9 Example Finding the Derivative of the Sine and Cosine Functions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 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.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Simple Harmonic Motion

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Jerk

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Derivative of the Other Basic Trigonometric Functions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Derivative of the Other Basic Trigonometric Functions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Example Derivative of the Other Basic Trigonometric Functions

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Page 140 (1-13 odd, 19, 21) Slide 3- 16