We note that F is continuous for all x, and its derivative is (x-1) if x>0 F'(x)= -1 if xr<0 The derivative is never 0, but it is undefined at 0 and at 1. Thus, 0 and 1 are the critical numbers of F.
We note that F is continuous for all x, and its derivative is (x-1) if x>0 F'(x)= -1 if xr<0 The derivative is never 0, but it is undefined at 0 and at 1. Thus, 0 and 1 are the critical numbers of F.
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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Transcribed Image Text:We note that F is continuous for all x, and its derivative is
(x-1) if x>0
F'(x) =
-1
if x<0
The derivative is never 0, but it is undefined at 0 and at 1. Thus, 0 and 1 are the critical
numbers of F.
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