Question: Let f(x) = 3x 2 x. a. Find the average rate of change of f(x) with respect to x as x changes from x

Let f(x) = 3x2 − x.

a. Find the average rate of change of f(x) with respect to x as x changes from x = 0 to x= 1/16.

b. Use calculus to find the instantaneous rate of change of f(x) at x = 0, and compare with the average rate found in part (a).

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