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(a) The graph in the figure given below is made of line segments joined end to end. At which points of the interval [-2,6] is f' not defined? Give reasons for your answer. (b) Graph the derivative of f. -B (-2,0) -4 4- 2 (0.2) 2 6 (6,2) (1,-1) (4, -1) X "?

(a) The graph in the figure given below is made of line segments joined end to end. At which points of the interval [-2,6] is f' not defined? Give reasons for your answer. (b) Graph the derivative of f. -B (-2,0) -4 4- 2 (0.2) 2 6 (6,2) (1,-1) (4, -1) X "?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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(a) The graph in the figure given below is made of line segments joined end to end. At which points of the interval [-2,6] is f' not defined? Give reasons for your answer. (b) Graph the derivative of f. -B (-2,0) -4 4- 2 3 (0.2) 2 4 6 (6,2) 8 (1,-1) (4, -1) X "?
Transcribed Image Text:(a) The graph in the figure given below is made of line segments joined end to end. At which points of the interval [-2,6] is f' not defined? Give reasons for your answer. (b) Graph the derivative of f. -B (-2,0) -4 4- 2 3 (0.2) 2 4 6 (6,2) 8 (1,-1) (4, -1) X "?
(a) Choose the correct answer below. A. f' is not defined at x= -2, x=1, and x = 4 because at these points the graph has cusps B. f' is not defined at x =0, x= 1, and x = 4 because at these points the graph has corners OC. f' is not defined at x = -2, x = 1, and x = 4 because at these points the graph has corners. OD. f' is not defined at x =0, x = 1, and x = 6 because at these points the graph has cusps. (b) Choose the correct graph of the derivative of f below. OA. -10 O C. 10 -6-6 oto + x 00 O toto X HO Ⓡ L OB. 10 10 P 4 bo toto 10 8 4 OO O O loto X 10 G
Transcribed Image Text:(a) Choose the correct answer below. A. f' is not defined at x= -2, x=1, and x = 4 because at these points the graph has cusps B. f' is not defined at x =0, x= 1, and x = 4 because at these points the graph has corners OC. f' is not defined at x = -2, x = 1, and x = 4 because at these points the graph has corners. OD. f' is not defined at x =0, x = 1, and x = 6 because at these points the graph has cusps. (b) Choose the correct graph of the derivative of f below. OA. -10 O C. 10 -6-6 oto + x 00 O toto X HO Ⓡ L OB. 10 10 P 4 bo toto 10 8 4 OO O O loto X 10 G
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