(2) f is monotone decreasing if and only if f'(x) < 0 for all r E I.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Please just prove item 2 of the corollary.
Transcribed Image Text:COROLLARY
Let I be an interval and f : I → R be differentiable.
(1) f is monotone increasing if and only if f'(x) > 0 for all æ E I.
(2) f is monotone decreasing if and only if f'(x) < 0 for all r E I.
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