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1 - 2sin x for x 5 0 Let f be a function defined by f (x) = e -4x for x > 0. (a)

1 - 2sin x for x 5 0 Let f be a function defined by f (x) = e -4x for x > 0. (a) Show that f is continuous at x = 0. (b) For x # 0, express f'(x) as a piecewise-defined function. Find the value of x for which f'(x) = -3

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