Suppose f(x) and f'(x) are defined in an open interval (a, b), where a and b are critical numbers of f(x). When is the graph of f(x) increasing, in this particular interval? A) When f'(X) is negative for all values of x between a and b. When f(x) is negative for all values of x between a and b. (c) When f(x) is positive for all values of x between a and b. D When f(x) is positive for all values of x between a and b.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose f(x) and f'(x) are defined in an open interval (a, b), where a and b are critical numbers of f(x). When is the graph of f(x)
increasing, in this particular interval?
A
When f'(x) is negative for all values
x between a and b.
В
When f(x) is negative for all values of x between a and b.
When f(x) is positive for all values of x between a and b.
When f(x) is positive for all values of x between a and b.
Transcribed Image Text:Suppose f(x) and f'(x) are defined in an open interval (a, b), where a and b are critical numbers of f(x). When is the graph of f(x) increasing, in this particular interval? A When f'(x) is negative for all values x between a and b. В When f(x) is negative for all values of x between a and b. When f(x) is positive for all values of x between a and b. When f(x) is positive for all values of x between a and b.
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