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Part (a): Calculate the derivative of g(x) = ln(x² +4x+7) Part (b): Let f (x) = ex² and g(x) = x³ + 1. Use the chain rule to calculate the derivative of h(x), where h(x) = f(g(x)).

Part (a): Calculate the derivative of g(x) = ln(x² +4x+7) Part (b): Let f (x) = ex² and g(x) = x³ + 1. Use the chain rule to calculate the derivative of h(x), where h(x) = f(g(x)).

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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Part (a): Calculate the derivative of g(x) = ln(x² +4x+7) Part (b): Let f (x) = ex² and g(x) = x³ + 1. Use the chain rule to calculate the derivative of h(x), where h(x) = f(g(x)).
Transcribed Image Text:Part (a): Calculate the derivative of g(x) = ln(x² +4x+7) Part (b): Let f (x) = ex² and g(x) = x³ + 1. Use the chain rule to calculate the derivative of h(x), where h(x) = f(g(x)).
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