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The following problems involve f(x) = 3x¹ − 8x³ - 66x² + 144x + 400 1. Find the relative extrema of this function using the Second Derivative Test. Discuss the behavior of the function (increase/decrease) and how it relates to f'(x). 2. Use the information from problem 1 to find the possible inflection points. Discuss the concavity, and how it relates to f''(x).

The following problems involve f(x) = 3x¹ − 8x³ - 66x² + 144x + 400 1. Find the relative extrema of this function using the Second Derivative Test. Discuss the behavior of the function (increase/decrease) and how it relates to f'(x). 2. Use the information from problem 1 to find the possible inflection points. Discuss the concavity, and how it relates to f''(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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3. Graph f(x) and label the maximum/minimum and inflection points. 800 700 600 500 400 300 200 100 -8 -7 -6 -5 -4 -3 -2 -100 -200 -300 -400 -500 -600 -700 -800 1 2 32₂ 4 5 6 7 8
Transcribed Image Text:3. Graph f(x) and label the maximum/minimum and inflection points. 800 700 600 500 400 300 200 100 -8 -7 -6 -5 -4 -3 -2 -100 -200 -300 -400 -500 -600 -700 -800 1 2 32₂ 4 5 6 7 8
The following problems involve f(x) = 3x4 -8x³ - 66x² + 144x + 400 1. Find the relative extrema of this function using the Second Derivative Test. Discuss the behavior of the function (increase/decrease) and how it relates to f'(x). 2. Use the information from problem 1 to find the possible inflection points. Discuss the concavity, and how it relates to f'(x).
Transcribed Image Text:The following problems involve f(x) = 3x4 -8x³ - 66x² + 144x + 400 1. Find the relative extrema of this function using the Second Derivative Test. Discuss the behavior of the function (increase/decrease) and how it relates to f'(x). 2. Use the information from problem 1 to find the possible inflection points. Discuss the concavity, and how it relates to f'(x).
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