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4. f(x) = In(x² + 4) 2x f'(x) = x² + 4 8 – 2x? f"(x) = %3D (x² + 4)²

4. f(x) = In(x² + 4) 2x f'(x) = x² + 4 8 – 2x? f"(x) = %3D (x² + 4)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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Hi there, please help me with solving parts a-c. Instructions have been posted to indicate what parts a-c are looking for. Thank you!

For each problem below, you're given a function and its first and second derivatives. а. Find the domain and zeroes of f (x). b. Find out what f'(x) and f"(x) tell you about the shape of f (). С. Use this information to help you draw a good sketch of the function that shows all x-intercepts, max/min values, and inflection points. (In the future, you will be asked to do this given the function only - so be sure you can find these derivatives and get them into a useful form to find their zeroes.)
Transcribed Image Text:For each problem below, you're given a function and its first and second derivatives. а. Find the domain and zeroes of f (x). b. Find out what f'(x) and f"(x) tell you about the shape of f (). С. Use this information to help you draw a good sketch of the function that shows all x-intercepts, max/min values, and inflection points. (In the future, you will be asked to do this given the function only - so be sure you can find these derivatives and get them into a useful form to find their zeroes.)
4. f(x) = In(x? + 4) 2x f'(x) x² + 4 8 – 2x? f"(x) : (x2 + 4)2
Transcribed Image Text:4. f(x) = In(x? + 4) 2x f'(x) x² + 4 8 – 2x? f"(x) : (x2 + 4)2
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