#3 3. Suppose f(3) = 2 and f'(3) = 8. Let g(x) = x²f(3x). Find the equation of the linetangent to g(x) at x = 1.4. Use the chain and product rules to prove the quotient rule. In other words, show thatf'(x)g(x) — g'(x)f(x)f(x)if y=9(x)'then[g(r)]2dydx

Topic = Application of derivative

Answered: 3. Suppose f(3) = 2 and f'(3) tangent…

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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3. Suppose f(3) = 2 and f'(3) tangent to g(x) at x = 1. = 8. Let g(x) = r² f(3x). Find the equation of the line