Question

Test the differentiability () = | |at = .


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Answer 1

Answer:

One is to check the continuity of f(x) at x=3, and the other is to check whether f(x) is differentiable there. First, check that at x=3, f(x) is continuous. It's easy to see that the limit from the left and right sides are both equal to 9, and f(3) = 9. Next, consider differentiability at x=3.

Step-by-step explanation:

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