Question: Let b > 0 and f : R R be defined by f(x) = 6. (a) If f'(0) exists, then (Fill in the blanks)

Let b > 0 and f : R R be defined by

Let b > 0 and f : R R be defined by f(x) = 6". (a) If f'(0) exists, then (Fill in the blanks) f'(0) = lim (b) Prove that if f is differentiable at 0, then it is differentiable at all xo E R and that the derivative is given by f'(xo) = f'(0)f (xo). %3D Hint - You may find the follouwing facts useful: beoth = brobh, and 1 = 6. %3D

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