9. For the following graphical representation of a function f(x): (1) Mark the points on the graph where the derivative is zero; (2) Show the regions where the function is increasing (positive derivative) and where it is decreasing (negative derivative); (3) Sketch the first derivative f'(x); (4) Repeat steps (1)-(3) on the derivative f'(x) itself to sketch the second derivative f"(x). 6 4 2 2 4
9. For the following graphical representation of a function f(x): (1) Mark the points on the graph where the derivative is zero; (2) Show the regions where the function is increasing (positive derivative) and where it is decreasing (negative derivative); (3) Sketch the first derivative f'(x); (4) Repeat steps (1)-(3) on the derivative f'(x) itself to sketch the second derivative f"(x). 6 4 2 2 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
For the following graphical representation of a function ? (?):
(1) Mark the points on the graph where the derivative is zero;
(2) Show the regions where the function is increasing (positive derivative) and where it is
decreasing (negative derivative);
(3) Sketch the first derivative ?′(?);
(4) Repeat steps (1)-(3) on the derivative ?′(?) itself to sketch the second derivative ?′′(?).
Transcribed Image Text:9. For the following graphical representation of a function f(x):
(1) Mark the points on the graph where the derivative is zero;
(2) Show the regions where the function is increasing (positive derivative) and where it is
decreasing (negative derivative);
(3) Sketch the first derivative f'(x);
(4) Repeat steps (1)-(3) on the derivative f'(x) itself to sketch the second derivative f"(x).
6
4
2
2
4
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