Chapter 4 More Derivatives Section 4 3 Derivatives
- Slides: 15
Chapter 4 More Derivatives Section 4. 3 Derivatives of Inverse Trigonometric Functions Copyright © 2015, 2012, and 2009 Pearson Education, Inc. 1
Quick Review Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 2
Quick Review Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 3
Quick Review Solutions Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 4
Quick Review Solutions Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 5
What you’ll learn about n n Differentiating inverse functions Graphical interpretation of how the derivative of f is related to the derivative of f - 1 Derivatives of the inverse trigonometric functions Identities for graphing arccot, arcsec, and arccsc functions on a graphing calculator … and why The relationship between the graph of a function and its inverse allows us to see the relationship between their derivatives. Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 6
Derivatives of Inverse Functions Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 7
Derivative of the Arcsine Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 8
Example Derivative of the Arcsine Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 9
Derivative of the Arctangent Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 10
Derivative of the Arcsecant Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 11
Example Derivative of the Arcsecant Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 12
Inverse Function – Inverse Cofunction Identities Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 13
Calculator Conversion Identities Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 14
Example Derivative of the Arccotangent Copyright © 2016, 2012, and 2010 Pearson Education, Inc. 15
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