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

Let f(x) = 1/x and g(x) = x 3 . (a) Show that the product rule yields

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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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Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

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Question Posted: Mar 24, 2023 01:30 AM

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Let f(x) = 1/x and g(x) = x 3 . (a) Show that the product rule yields

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Calculus And Its Applications

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