Ch 3.4 # 20Can you help with this? (a)u'(1) =It does exist.u'(1) does not exist because f '(1) does not exist.u'(1) does not exist because g'(1) does not exist.u'(1) does not exist because f '(3) does not exist.u'(1) does not exist because g'(2) does not exist.(b)v'(1) =It does exist.v'(1) does not exist because f '(1) does not exist.v'(1) does not exist because g'(1) does not exist.O v'(1) does not exist because f '(3) does not exist.v'(1) does not exist because g'(2) does not exist.(c)It does exist.w'(1) =w'(1) does not exist because f '(1) does not exist.w'(1) does not exist because g'(1) does not exist.w'(1) does not exist because f '(3) does not exist.O w'(1) does not exist because g'(2) does not exist.O OO If f and g are the functions whose graphs are shown, let u(x) = f(g(x)), v(x) = g(f(x)), and w(x) = g(g(x)). Find eachderivative, if it exists. If it does not exist, explain why. (If an answer does not exist, enter DNE.)(a)u'(1) =O It does exist.O u'(1) does not exist because f '(1) does not exist.O u'(1) does not exist because g'(1) does not exist.O u'(1) does not exist because f '(3) does not exist.O u'(1) does not exist because g'(2) does not exist.(b)v'(1) =O It does exist.O v'(1) does not exist because f '(1) does not exist.O v'(1) does not exist because g'(1) does not exist.O v'(1) does not exist because f '(3) does not exist.O v'(1) does not exist because g'(2) does not exist.

Answered: Image /qna-images/answer/84872bba-a30f-4712-a44a-0684f7c0c4a7.jpg

(a) u'(1) = It does exist. u'(1) does not exist because f '(1) does not exist. O u'(1) does not exist because g'(1) does not exist. u'(1) does not exist because f '(3) does not exist. u'(1) does not exist because g'(2) does not exist. (b) It does exist. v'(1) = v'(1) does not exist because f '(1) does not exist. v'(1) does not exist because g'(1) does not exist. O v'(1) does not exist because f '(3) does not exist. v'(1) does not exist because g'(2) does not exist. (c) It does exist. w'(1) = w'(1) does not exist because f '(1) does not exist. w'(1) does not exist because g'(1) does not exist. w'(1) does not exist because f '(3) does not exist. w'(1) does not exist because g'(2) does not exist. O OO

(a) u'(1) = It does exist. u'(1) does not exist because f '(1) does not exist. O u'(1) does not exist because g'(1) does not exist. u'(1) does not exist because f '(3) does not exist. u'(1) does not exist because g'(2) does not exist. (b) It does exist. v'(1) = v'(1) does not exist because f '(1) does not exist. v'(1) does not exist because g'(1) does not exist. O v'(1) does not exist because f '(3) does not exist. v'(1) does not exist because g'(2) does not exist. (c) It does exist. w'(1) = w'(1) does not exist because f '(1) does not exist. w'(1) does not exist because g'(1) does not exist. w'(1) does not exist because f '(3) does not exist. w'(1) does not exist because g'(2) does not exist. O OO

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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