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Let f and g be functions differentiable on R. with Find f(x)|x=2= d g(2) = 2, 9(x)\x=2 = 4, de f(g(x))|„=2 = 28. dx d dx d dx -f(x)|x=2.

Let f and g be functions differentiable on R. with Find f(x)|x=2= d g(2) = 2, 9(x)\x=2 = 4, de f(g(x))|„=2 = 28. dx d dx d dx -f(x)|x=2.

Calculus: Early Transcendentals
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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Let \( f \) and \( g \) be functions differentiable on \( \mathbb{R} \) with \[ g(2) = 2, \quad \left. \frac{d}{dx} g(x) \right|_{x=2} = 4, \quad \left. \frac{d}{dx} f(g(x)) \right|_{x=2} = 28. \] Find \[ \left. \frac{d}{dx} f(x) \right|_{x=2} = \, . \]
Transcribed Image Text:Let \( f \) and \( g \) be functions differentiable on \( \mathbb{R} \) with \[ g(2) = 2, \quad \left. \frac{d}{dx} g(x) \right|_{x=2} = 4, \quad \left. \frac{d}{dx} f(g(x)) \right|_{x=2} = 28. \] Find \[ \left. \frac{d}{dx} f(x) \right|_{x=2} = \, . \]
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