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

2. 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

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

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

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

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

7. 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

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

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

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

11. 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