Looking ahead: Derivative of xn Use the definition f _1x2

Chapter 3, Problem 62

(choose chapter or problem)

Looking ahead: Derivative of xn Use the definition f _1x2 = lim hS0 f 1x + h2 - f 1x2 h to find f _1x2 for the following functions. a. f 1x2 = x2 b. f 1x2 = x3 c. f 1x2 = x4 d. Based on your answers to parts (a)(c), propose a formula for f _1x2 if f 1x2 = xn, where n is a positive integer.

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