Show that the function f(x) = |x – 2| is not differentiable at 2. We have if x > 2 f(x) = |x – 2| = if x < 2. The right-hand limit is lim (x) – f(2). x-2+ and the left-hand limit is lim (x) – f(2) f(x) – f(2) Since these limits are not equal, f'(2) = lim does not exist and fis not differentiable at 2. Find a formula for f' and sketch its graph. if x > 2 f'(x) = if x < 2 -7 -6 -5 -3 -2 -1 -1 No -2 Solution -3 -4 -7 Help

Show that the function f(x) = |x – 2| is not differentiable at 2. We have if x > 2 f(x) = |x – 2| = if x < 2. The right-hand limit is lim (x) – f(2). x-2+ and the left-hand limit is lim (x) – f(2) f(x) – f(2) Since these limits are not equal, f'(2) = lim does not exist and fis not differentiable at 2. Find a formula for f' and sketch its graph. if x > 2 f'(x) = if x < 2 -7 -6 -5 -3 -2 -1 -1 No -2 Solution -3 -4 -7 Help

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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