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# Lesson 3 Nov 16 09

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### Lesson 3 Nov 16 09

1. 1. Differentiate exponential Functions
2. 2. f(x) = 2x slope ­ always positive f ' is positive ­ increasing increasing
3. 3. Calculate the derivative of f(x) = bx f '(x) =  lim f(x + h) ­ f(x) h      0 h x + h lim b ­ bx = h      0 h
4. 4. lim bx . bh ­ bx = h      0 h lim bh ­ 1 x  = b   h      0 h =b x   lim bh ­ 1 h      0 h
5. 5. lim bh ­ 1 h      0 h
6. 6. f(x) = 2x f '(x) = ln2 (2x)
7. 7. f(x) = 3x f '(x) = ln3 (3x)
8. 8. Find the derivative of  f(x) = ex d (ex) = ln e (ex) dx = ex f '(x) = ex
9. 9. . Given   f(x) = 3  4x + 7ex find  d (f(x)) dx
10. 10. Exercise 4.2 odd questions  1 ­ 21