Given the function f(x) = 2x³ - 3x² - 72x + 2, determine the intervals where the function is increasing and decreasing, and the intervals of concavity. Write the intervals using inequalities for example: x < -1, 2 4 etc.... f(x) is increasing for: f(x) is decreasing for: f(x) is concave up for: f(x) is concave down for:
Given the function f(x) = 2x³ - 3x² - 72x + 2, determine the intervals where the function is increasing and decreasing, and the intervals of concavity. Write the intervals using inequalities for example: x < -1, 2 4 etc.... f(x) is increasing for: f(x) is decreasing for: f(x) is concave up for: f(x) is concave down for:
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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
Transcribed Image Text:Given the function f(x) = 2x³ - 3x² - 72x + 2, determine the intervals where the function is
increasing and decreasing, and the intervals of concavity. Write the intervals using inequalities for
example:
x < -1,
2<x<4;
x<-2 or x > 4
etc....
f(x) is increasing for:
f(x) is decreasing for:
f(x) is concave up for:
f(x) is concave down for:
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