Rogawski Calculus Copyright © 2008 W. H. Freeman and Company.

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Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

Combining the Chain Rule with both the Power Rule and Exponential Rule, we obtain the General Power and Exponential Rules: Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

Example, Page 178 Find the derivative. 10. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

Example, Page 178 Find the derivative. 12. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

Example, Page 178 Find the derivative. 14. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

When we learned about the graphs of functions, we learned about translations, stretches, and shrinks. If a function f (x) is differentiable, then a translated and stretched (shrunk) version of it, noted as f (kx + b), is also differentiable. Specifically, Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

Example, Page 178 Find the derivative. 24. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

Example, Page 178 Find the derivative. 24. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

Example, Page 178 Find the derivative. 56. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

Homework Homework Assignment #16 Read Section 3.8 Page 178, Exercises: 1 – 93 (EOO) Quiz next time Rogawski Calculus Copyright © 2008 W. H. Freeman and Company