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For each of the following functions, determine the function that occurs in the theorem below. If f is differentiable at c then y = f(c

For each of the following functions, determine the function that occurs in the theorem below. If f is differentiable at c then y = f(c + x) f(c) satisfies y = (f '(c) + )x where the function has the property that lim x0 (x) = 0. (a) f(x) = x2 x + 8

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