(d) Find z-value(s) at which f has a local minimum. (e) Find the interval(s) where f is concave upward. (f) Find the interval(s) where f is concave downward. (g) Find z-value(s) for all inflection point (s).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve q20 d ,e ,f and g part only Show neat clear and exact answer plz and take a thumb up
20. The graph of the first derivative f' of a function f is continuous on (-∞, x).
-2 -1
f (x)
2
3
(a) Find the interval(s) on which f is increasing.
(b) Find the interval(s) on which f is decreasing.
(c) Find z-value(s) at which f has a local maximum.
(d) Find z-value(s) at which f has a local minimum.
(e) Find the interval(s) where f is concave upward.
(f) Find the interval(s) where f is concave downward.
(g) Find z-value(s) for all inflection point(s).
1
L
7
8
9
Transcribed Image Text:20. The graph of the first derivative f' of a function f is continuous on (-∞, x). -2 -1 f (x) 2 3 (a) Find the interval(s) on which f is increasing. (b) Find the interval(s) on which f is decreasing. (c) Find z-value(s) at which f has a local maximum. (d) Find z-value(s) at which f has a local minimum. (e) Find the interval(s) where f is concave upward. (f) Find the interval(s) where f is concave downward. (g) Find z-value(s) for all inflection point(s). 1 L 7 8 9
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