4.3c - 4.3c Even More Connecting f and f with the Graph of...

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Calculus Section 4.3c Page 16 4.3c Even More Connecting f and f with the Graph of f Example 1 More on moving from the graph of f to draw a possible graph of f a) The graph of f is shown below ( Note: This is the graph of the derivative of f ) a) Over what intervals is the graph of f increasing? a) ____________________ b) At what value(s) of x should f have a relative maximum? b)________________ c) Over what interval(s) is f concave up? c)_________________ d) Sketch a rough graph of a possible f on the window below. Example 2 Help with getting common denominators For each question, identify the critical points and determine the local extreme values (Use a graph to confirm results)

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Calculus Section 4.3c Page17 a) f x ( ) = x 4 - x (page 192 #9 – note domain restriction) b) y = x 2 3 x + 2 ( ) (page 185 #37) c) y = xe - x
Calculus Section 4.3c Page 18 Example 3 Review 1. Determine the critical points of the following functions: a) f x ( ) = x 2 - 4 x b) y = 2 x 3 - 3 x 2

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This note was uploaded on 02/04/2011 for the course MATH 116 taught by Professor John during the Spring '10 term at Saint Michael's College - Colchester, Vermont.

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4.3c - 4.3c Even More Connecting f and f with the Graph of...

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