See step 3 of the attached Chegg solution.. Why is g(x) not differentiable at x=

Question

See step 3 of the attached Chegg solution.. Why is g(x) not differentiable at x=6? Is it because the slope of g(x) as x->6 from the left is not equal to the slope of g(x) as x->6 from the right?

C https://www. chegg.com/homework-help/ o C CCalculus 10th Edition Chapt x calculus-10 File Edit View Favorites Tools Help Norton THIS PAGE IS Y FACEBOOK E Chegg Study TEXTBOOK SOLUTIONS EXPERT Q&A; E Chapter 2.4, Problem 103E Chapter 2.4 A Step 1 of 3 a Graphs of f and g are shown 102E 103E 105E 108E 2 4 6 8 0 110E Comment 112E O Type here to search Bookmark Show all steps. a ON Search 4:20 PM 6/14/2017 R2

Explanation / Answer

Yes, as the slope of g(x) as x->6 from the left is not equal to the slope of g(x) as x->6 from the right, f(x) is not differentiable at x=6.

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