1. Exponential Functions – Differentiation and Integration

3. Ex:Solve

4. Exponential Functions – Differentiation and Integration Ex:Solve

5. Exponential Functions – Differentiation and Integration

7. What is the derivative of A natural question to ask is: Remember from the previous section:

8. Exponential Functions – Differentiation and Integration

9. AP Calculus BC Tuesday, 26 January 2016 OBJECTIVE TSW differentiate and integrate natural exponential functions. ASSIGNMENTS DUE –WS The Natural Logarithm – Implicit Differentiation and Tangents  wire basket –WS Inverse Functions  black tray TEST: Natural Logarithmic and Natural Exponential Functions – Differentiation and Integration will be this Friday, 29 January 2016. QUIZ: Natural Logarithmic Function – Differentiation and Integration will be returned tomorrow. TODAY’S ASSIGNMENT (due on Friday, 01/29/16) –WS Exponential Functions: Differentiation & Integration

10. Exponential Functions – Differentiation and Integration

11. Ex:Find the derivative

12. Exponential Functions – Differentiation and Integration Ex:Find the derivative

13. Exponential Functions – Differentiation and Integration Ex:Find the POI of

14. Exponential Functions – Differentiation and Integration Ex:Find the POI of

15. Exponential Functions – Differentiation and Integration Ex:Find the POI of

16. Exponential Functions – Differentiation and Integration Ex:Find the POI of

17. Exponential Functions – Differentiation and Integration Ex:Find the POI of

18. Exponential Functions – Differentiation and Integration Ex:Find the derivative (implicit differentiation).

19. Exponential Functions – Differentiation and Integration

20. Ex:Evaluate Let u = 5x + 3 du = 5 dx 1/5 du = dx

21. Exponential Functions – Differentiation and Integration Ex:Evaluate Let u = 3x 2 du = 6x dx 1/6 du = x dx

22. Exponential Functions – Differentiation and Integration Ex:Evaluate Let u = 3/x du = –3/x 2 dx –1/3 du = 1/x 2 dx

23. Exponential Functions – Differentiation and Integration Ex:Evaluate

24. Exponential Functions – Differentiation and Integration Ex:Evaluate Let u = 2 + e x du = e x dx

25. Exponential Functions – Differentiation and Integration Ex:Evaluate Let u = e x du = e x dx