1) Suppose f and g are differentiable functions. Show that (f(x)) = f'(a)g(x) = f(x)}g'(x) [g(x)]² Hint: You need to apply both the product rule and the chain rule. ə ?х

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1) Suppose f and g are differentiable functions. Show that
3 (5(2)) =
əx
f'(x)g(x) - f(x)g'(x)
[g(x)]²
Hint: You need to apply both the product rule and the chain rule.
Transcribed Image Text:1) Suppose f and g are differentiable functions. Show that 3 (5(2)) = əx f'(x)g(x) - f(x)g'(x) [g(x)]² Hint: You need to apply both the product rule and the chain rule.
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