Question: Please see attached. Consider the function f: R R, given by sin x 0 if Answer the following questions. Show and explain your work! (a)

Please see attached.

Consider the function f: R R, given by sin x 0 if Answer the following questions. Show and explain your work! (a) Using the appropriate differentiation rules, find a formula for f '(x) for x* 0. (b) Use the definition of the derivative as a limit to show that f is differentiable at x =0 and find f '(0).

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