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Suppose f(2) = 4, f' (2) = 5, f(-3) = 2, f' (-3) = -2, and dH H(x) = f(x² – 7). Find dx |x=2 Н (2) %3

Suppose f(2) = 4, f' (2) = 5, f(-3) = 2, f' (-3) = -2, and dH H(x) = f(x² – 7). Find dx |x=2 Н (2) %3

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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Suppose \( f(2) = 4 \), \( f'(2) = 5 \), \( f(-3) = 2 \), \( f'(-3) = -2 \). Let \( H(x) = f(x^2 - 7) \). Find \(\left. \frac{dH}{dx} \right|_{x=2} \). \( H'(2) = \)
Transcribed Image Text:Suppose \( f(2) = 4 \), \( f'(2) = 5 \), \( f(-3) = 2 \), \( f'(-3) = -2 \). Let \( H(x) = f(x^2 - 7) \). Find \(\left. \frac{dH}{dx} \right|_{x=2} \). \( H'(2) = \)
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