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UA MATH 124 - Differentiability

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Math 124 Name ____________________#16 DIFFERENTIABILITY 2.61. Consider the function 24)2(22)(2xforxxforxxf(a) Graph this function as neatly and as accurately as possible.(b) Find hfhfh)2()2(lim0. SHOW ALL WORK.(c) Find hfhfh)2()2(lim0. SHOW ALL WORK.(d) What is the value of hfhfh)2()2(lim0 ?(e) What is  )2(fdxd ? Explain your answer.(f) Is f continuous at x = 2?2. Consider the function 3/1)( xxg .Math 124 Name ____________________(a) Graph this function as neatly and as accurately as possible.(b) Use the power rule to find )0(g. SHOW ALL WORK.Use the graph of g(x) to explain why your answer is as it is.(c) Is g(x) continuous at x = 0?3. On the grid below, sketch any function that is not continuous at x = 2.Is your function differentiable at x = 2?


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UA MATH 124 - Differentiability

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