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3. Given f'(x) = 4x³ - 12x² complete parts a-c. Show all your work to earn full credit. a) Find the intervals on which f is increasing or decreasing. b) Find the x-values (if any) at which f has local maximum or minimum values. If none, write none. c) Find the intervals of concavity and the x-values of the inflection points (if any). Answers: a) f increasing: f decreasing: b) local maximum of f at: local minimum of f at: c) f concave up: f concave down: point of inflection on f at:

3. Given f'(x) = 4x³ - 12x² complete parts a-c. Show all your work to earn full credit. a) Find the intervals on which f is increasing or decreasing. b) Find the x-values (if any) at which f has local maximum or minimum values. If none, write none. c) Find the intervals of concavity and the x-values of the inflection points (if any). Answers: a) f increasing: f decreasing: b) local maximum of f at: local minimum of f at: c) f concave up: f concave down: point of inflection on f at:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Given f'(x) = 4x³ - 12x² complete parts a-c. Show all your work to earn full credit. a) Find the intervals on which f is increasing or decreasing. b) Find the x-values (if any) at which f has local maximum or minimum values. If none, write none. c) Find the intervals of concavity and the x-values of the inflection points (if any). Answers: a) f increasing: f decreasing: b) local maximum of f at: local minimum off at: c) f concave up: f concave down: point of inflection on f at: 4. Use a linear approximation to estimate √8.75. Leave your answer in exact form. Show all of your work to earn full credit
Transcribed Image Text:3. Given f'(x) = 4x³ - 12x² complete parts a-c. Show all your work to earn full credit. a) Find the intervals on which f is increasing or decreasing. b) Find the x-values (if any) at which f has local maximum or minimum values. If none, write none. c) Find the intervals of concavity and the x-values of the inflection points (if any). Answers: a) f increasing: f decreasing: b) local maximum of f at: local minimum off at: c) f concave up: f concave down: point of inflection on f at: 4. Use a linear approximation to estimate √8.75. Leave your answer in exact form. Show all of your work to earn full credit
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