Use the graph of y = f(x) to identify at which of the indicated points f'(x) changes from positive to negative, changes from negative to positive, and does not change sign.y(-1, 5)(-3, 2)(2, 1)X-2-2(a)f'(x) changes from positive to negativeO (-3, 2)O (-1, 5)О (2, 1)None of these points represents a change in f'(x) from positive to negative.(b) f'(x) changes from negative to positiveO (-3, 2)O (-1, 5)O (2, 1)O None of these points represents a change in f'(x) from negative to positive.(c) f'(x) does not change sign(-3, 2)(-1, 5)(2, 1)

First draw the tangents at every given point.

points 7'(X) changes from positive to negative, changes from negati y (-1, 5) (-3, 2) 2 (2, 1) 4 -2 4 (a) f(x) changes from positive to negative О (-3, 2) O (-1, 5) O (2, 1) O None of these points represents a change in f'(x) from positive to negative. (b) r'(x) changes from negative to positive O (-3, 2) O (-1, 5) (2, 1) None of these points represents a change in f'(x) from negative to positive. (c) f'(x) does not change sign O (-3, 2) O (-1, 5) O (2, 1)

points 7'(X) changes from positive to negative, changes from negati y (-1, 5) (-3, 2) 2 (2, 1) 4 -2 4 (a) f(x) changes from positive to negative О (-3, 2) O (-1, 5) O (2, 1) O None of these points represents a change in f'(x) from positive to negative. (b) r'(x) changes from negative to positive O (-3, 2) O (-1, 5) (2, 1) None of these points represents a change in f'(x) from negative to positive. (c) f'(x) does not change sign O (-3, 2) O (-1, 5) O (2, 1)

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.CR: Chapter 4 Review

Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...

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