tiable

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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P4 How  is it differentiable?

Let g be the function defined on the interval (-1,+0) by
In(1+ x)
if r+ 0,
g(x) =
1,
if r = 0.
Is the function g differentiable at zero? If yes, find the value of gʻ(0). Otherwise, justify
your reasoning.
Transcribed Image Text:Let g be the function defined on the interval (-1,+0) by In(1+ x) if r+ 0, g(x) = 1, if r = 0. Is the function g differentiable at zero? If yes, find the value of gʻ(0). Otherwise, justify your reasoning.
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