Extended Product Rule The Product Rule can be extended to the product of three functions. (a) Use

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Extended Product Rule The Product Rule can be extended to the product of three functions.

(a) Use the Product Rule twice to prove that if f, g, and h are differentiable, then (fgh)' = f'gh + fg'h + fgh'.

(b) Taking f = g = h in part (a), show that

d [f(x)]³ = 3[f(x)]'f'(x) dx

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Related Book For answer-question

Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Question Posted: Dec 31, 2020 06:53 AM

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Extended Product Rule The Product Rule can be extended to the product of three functions. (a) Use

Question:

d [f(x)]³ = 3[f(x)]'f'(x) dx

Step by Step Answer:

a f gh f gh f gh f gh f g f gh f gh f ...View the full answer

Calculus Early Transcendentals

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