Question: Problem 2. Consider the function f(x) = x2 cos (x) sin (2) , x 70 (1) x = 0 (a) Compute f'(x) when x *

Problem 2. Consider the function f(x) = x2 cos (x) sin (2) , x 70 (1) x = 0 (a) Compute f'(x) when x * 0 (b) Is f(x) differentiable at x = 0? In both cases (yes or no) show your proof and if the answer is yes, find the value of f'(0) (Hint: you may need to use the elementary definition of a derivative, i.e., the limit of the average change)

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