Problem

Looking ahead: Derivative of xn Use the symbolic capabilities of a calculator to calculate...

Looking ahead: Derivative of xn Use the symbolic capabilities of a calculator to calculate f ′(x) using the defination. for the following function.

a. f(x) = x2


b. f(x) = x3


c. f(x) = x4


d. Based upon your answer to part(a)-(c), propose a formula for f ′(x) if f(x) = xn, where n is a positive integer.

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