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10. A certain function f (x) is known to satisfy f ( x + h) - f (x) = h(3 - 2h)2 - 3xh +

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10. A certain function f (x) is known to satisfy f ( x + h) - f (x) = h(3 - 2h)2 - 3xh + h3 - hvx. (a) Find f'(x) using the limit definition of the derivative. (b) What is the average rate of change of f(x) on the interval [1,4]? BONUS QUESTION: For what values of a, if any, does (a) lim x2+5x+6 = Do? x-at a-x (b) lim x2+5x+6 = -co? x-at a-x Be sure to show all work justifying your

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