Question: Let f(x) = 1/x and g(x) = x 3 . (a) Show that the product rule yields the correct derivative of (1/x)x 3 = x

Let f(x) = 1/x and g(x) = x3.

(a) Show that the product rule yields the correct derivative of (1/x)x3 = x2.

(b) Compute the product f′(x)g′(x), and note that it is not the derivative of f (x)g (x).

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