Example 12: Sketch a graph of the function f(x) = x² - 4x³ + 10 using the following steps. (a) Identify where the extrema of f occur. (b) Find the intervals on which f is increasing and the intervals on which f is decreasing. (c) Find where the graph of f is concave up and where it is concave down. d) Sketch the general shape of the graph for f. e) Plot some specific points, such as local maximum and minimum points, points of inflection, and intercepts. Then sketch the curve. کوند الب اريم
Example 12: Sketch a graph of the function f(x) = x² - 4x³ + 10 using the following steps. (a) Identify where the extrema of f occur. (b) Find the intervals on which f is increasing and the intervals on which f is decreasing. (c) Find where the graph of f is concave up and where it is concave down. d) Sketch the general shape of the graph for f. e) Plot some specific points, such as local maximum and minimum points, points of inflection, and intercepts. Then sketch the curve. کوند الب اريم
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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