Let f(x) = x3, g(x) = (x − 4)3, and h(x) = 1x + 323.
(A) How are the graphs of f, g, and h related? Illustrate your conclusion by graphing f, g, and h on the same coordinate axes.
(B) How would you expect the graphs of the derivatives of these functions to be related? Illustrate your conclusion by graphing f′, g′, and h′ on the same coordinate axes.
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