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Warm up Problem If, find.. The Derivative Function Def. For any function f (x), we can find the derivative function f (x) by:

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Presentation on theme: "Warm up Problem If, find.. The Derivative Function Def. For any function f (x), we can find the derivative function f (x) by:"— Presentation transcript:

1 Warm up Problem If, find.

2

3 The Derivative Function Def. For any function f (x), we can find the derivative function f (x) by:

4 Ex. Given the graph of f (x), sketch f (x). a. b. c.

5 Ex. Given the graph of f (x), sketch f (x).

6 Note: f (a) is a number f (x) is a function Algebraically Ex. If f (x) = 5, find f (x).

7 Ex. If f (x) = 3x – 2, find f (x).

8 Ex. If f (x) = x 2, find f (x).

9 Pract. If f (x) = x 3, find f (x).

10 Rules If f (x) = constant, then f (x) = 0. If f (x) = mx + b, then f (x) = m. If f (x) = x n, then f (x) = nx n – 1. Only use these rules, dont make up your own. If the problem says Use definition of derivative, you must use the limit.

11 Ex. If f (x) = x 902, find f (x). Note: A function is differentiable at a point if the function and its derivative are continuous at the point.

12 Ex. Is the function differentiable at x = 2?


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