Question: Consider the function f(x) = 1/3x 3 . (a) Use a graphing utility to graph the function and estimate the values of f(0), f(1/2), f(1),

Consider the function f(x) = 1/3x3.

(a) Use a graphing utility to graph the function and estimate the values of f′(0), f′(1/2), f′(1), f′(2), and f′(3).

(b) Use your results from part (a) to determine the values of f′(−1/2), f′(−1), f′(−2), and f′(−3).

(c) Sketch a possible graph of f′.

(d) Use the definition of derivative to find f′(x).

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