Section 5.4

Section 5.4 - g '( x ) = ln(x) ln(x) 3. [SCalcCC2 5.4.20.]...

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Section 5.4 (Review) (Homework) About this Assignment Current Score: 18.5 out of 18.5 The Fundamental Theorem of Calculus 1. [SCalcCC2 5.4.02.] 6.5/6.5 points Last Response | Show Details All Responses Notes Let g ( x ) be the following where f is the function whose graph is shown below it. (a) Evaluate g ( x ) for x = 0, 1, 2, 3, 4, 5, and 6. g (0) = 0 0 g (1) = .5 0.5 g (2) = 0 0 g (3) = -.5

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-0.5 g (4) = 0 0 g (5) = 1.5 1.5 g (6) = 4 4 (b) Estimate g (7). 6 6.2 (c) Where does g have a maximum value? x = 7 7 Where does g have a minimum value? x = 3 3 (d) Sketch a rough graph of g . (Do this on paper. Your teacher may ask you to turn in this work.) 2. 1/1 points Last Response | Show Details All Responses Notes [SCalcCC2 5.4.08.] Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

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Unformatted text preview: g '( x ) = ln(x) ln(x) 3. [SCalcCC2 5.4.20.] 11/11 points Last Response | Show Details All Responses Notes Let g ( x ) be the following where f is the function whose graph is shown below it. (a) At what values of x do the local maximum values of g occur? x = 2 2 (smaller x value) x = 6 6 (larger x value) At what values of x do the local minimum values of g occur? x = 4 4 (smaller x value) x = 8 8 (larger x value) (b) Where does g attain its absolute maximum value? x = 2 2 (c) On what intervals is g concave downward? (1 1 ,3 3 ) (smallest x value) (5 5 ,7 7 ) (9 9 ,10 10 ) (largest x value) (d) Sketch the graph of g . (Do this on paper. Your teacher may ask you to turn in this work.)...
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This note was uploaded on 10/28/2010 for the course MA MA 241 taught by Professor Lesliekurtz during the Spring '10 term at N.C. State.

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Section 5.4 - g '( x ) = ln(x) ln(x) 3. [SCalcCC2 5.4.20.]...

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