Consider the function f: R % R, given by 2 sine: ifs: 0 x): 4w 7i . 0 if 3320 Answer the following questions. Show and explain your work! (a) Using the appropriate differentiation rules, find a formula for f' (:13) for m 75 0. (b) Use the definition of the derivative as a limit to show that f is differentiable at a: = 0 and find f'(0)