2. 15 E Derivatives of Exponential Functions

3. Look at the graph of The slope at x=0 appears to be 1. If we assume this to be true, then: definition of derivative

4. Now we attempt to find a general formula for the derivative of using the definition. This is the slope at x=0, which we have assumed to be 1.

6. is its own derivative! If we incorporate the chain rule: We can now use this formula to find the derivative of

7. ( and are inverse functions.) (chain rule)

8. ( is a constant.) Incorporating the chain rule:

9. So far today we have: Now it is relatively easy to find the derivative of. Next class…..next class.

10. Homework Page 375 (#1 – 6)

11. Chapter 15 Section F

12. So far we have: Now it is relatively easy to find the derivative of

15. Homework 15 F