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New lab Sign in to your acco.... 2 3 W Graph of f The figure above shows the graph of f'(x), the derivative of the function f for -3

New lab Sign in to your acco.... 2 3 W Graph of f The figure above shows the graph of f'(x), the derivative of the function f for -3

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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New Tab Spotty Sign in to your acco.... *** Graph of f The figure above shows the graph of f'(x), the derivative of the function f for -3 < x < 5. The graph of f' has horizontal tangents at x = -1, x =2 and x = 4. The zeros of the derivative, f'(x), are x = -2, x= 2/3 and x =4. (a) Find all value(s) of x on the interval (-3,5) at which f attains a relative minimum. Justify your answer. (b) Find all value(s) of x on the interval (-3,5) at which f attains a relative maximum. Justify your answer. (c) Find all value(s) of x on the interval (-3,5) at which the graph of f is concave up. Justify your answer. Edit View Insert Format Tools Table 12pt v Paragraph BIU A ev T² v ✓ ✓ VX FOR SA d- 171 HA =-1 نيا نعيم 6 ÿ✓ §✓ E✓ 2 1 8 B
Transcribed Image Text:New Tab Spotty Sign in to your acco.... *** Graph of f The figure above shows the graph of f'(x), the derivative of the function f for -3 < x < 5. The graph of f' has horizontal tangents at x = -1, x =2 and x = 4. The zeros of the derivative, f'(x), are x = -2, x= 2/3 and x =4. (a) Find all value(s) of x on the interval (-3,5) at which f attains a relative minimum. Justify your answer. (b) Find all value(s) of x on the interval (-3,5) at which f attains a relative maximum. Justify your answer. (c) Find all value(s) of x on the interval (-3,5) at which the graph of f is concave up. Justify your answer. Edit View Insert Format Tools Table 12pt v Paragraph BIU A ev T² v ✓ ✓ VX FOR SA d- 171 HA =-1 نيا نعيم 6 ÿ✓ §✓ E✓ 2 1 8 B
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