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Published byLuis Fagan Modified over 2 years ago

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Warm up Problem If, find.

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

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

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

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

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Ex. If f (x) = 3x – 2, find f (x).

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

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

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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.

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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.

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Ex. Is the function differentiable at x = 2?

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