2. Let f(x) be a continuous function. If f'(x) > 0 for x>c and f'(x) <0 for x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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These are 2 sub parts not 2 questions please solve both
2. Let f(x) be a continuous function. If f'(x) > 0 for x>c and f'(x) <0 for x <c then what type of
critical point is (c.f(c))?
Local maximum
Local minimum
Neither a local max or local min
None of the above
Transcribed Image Text:2. Let f(x) be a continuous function. If f'(x) > 0 for x>c and f'(x) <0 for x <c then what type of critical point is (c.f(c))? Local maximum Local minimum Neither a local max or local min None of the above
1. Below is the graph of f '(x). For what value(s) of x does f(x) have a local minimum?
2 -1
I 2 3 4 5 6 x
x = -2
c.
x = 4
x = 0 d.
None
a.
b.
Ox=-2
Ox=4
Ox=0
4
None of the above
Transcribed Image Text:1. Below is the graph of f '(x). For what value(s) of x does f(x) have a local minimum? 2 -1 I 2 3 4 5 6 x x = -2 c. x = 4 x = 0 d. None a. b. Ox=-2 Ox=4 Ox=0 4 None of the above
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