3. Let f(x) = x - r - 3x. Determine the interval(s) on which f(x) is increasing and the interval(s) on which f(x) is decreasing, and find the x coordinates of all local maxima and minima. Then determine the interval(s) on which f(x) is concave up and the interval(s) on which f(x) is concave down, and find the x coordinates of all inflection points.
3. Let f(x) = x - r - 3x. Determine the interval(s) on which f(x) is increasing and the interval(s) on which f(x) is decreasing, and find the x coordinates of all local maxima and minima. Then determine the interval(s) on which f(x) is concave up and the interval(s) on which f(x) is concave down, and find the x coordinates of all inflection points.
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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Step 1: Explanation
To find the points of minima and maxima first we need to find the critical points of function by equating the first derivative to zero.
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