If the graph of a function f(x) is decreasing over the interval (a, b) then which of the following must be true? f'(x) is increasing over (a, b) f'(x) is decreasing over (a, b) Graph of f'(x) is above the x-axis over (a, b) Graph of f' (x) is below x-axis over (a, b).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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If the graph of a function f(x) is decreasing over
the interval (a, b) then which of the following
must be true?
f'(x) is increasing over (a, b)
f'(x) is decreasing over (a, b)
Graph of f' () is above the x-axis over (a, b)
Graph of f'(x) is below x-axis over (a, b)
Transcribed Image Text:If the graph of a function f(x) is decreasing over the interval (a, b) then which of the following must be true? f'(x) is increasing over (a, b) f'(x) is decreasing over (a, b) Graph of f' () is above the x-axis over (a, b) Graph of f'(x) is below x-axis over (a, b)
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,