Use the definition of the derivative to show that the following function is not differentiable at x = 0. f(x) = |6x| for positive h lim for negative h lim F(x +h)-f(x) h f(x+h)-f(x) h

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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Use the definition of the derivative to show that the following function is not differentiable at x = 0.
f(x) = |6x|
for positive h
for negative h
lim
h-o
lim
F(x +h)-f(x)
h
f(x+h)-f(x)
h
Transcribed Image Text:Use the definition of the derivative to show that the following function is not differentiable at x = 0. f(x) = |6x| for positive h for negative h lim h-o lim F(x +h)-f(x) h f(x+h)-f(x) h
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