Let - (4x + 2) 2x2 if x < -1 f(x) = if – 1< x < 1 2x if x > 1 Find a formula for f'(x). Note: f(x) is differentiable at x = -1, but is NOT differentiable at x = 1. Can you see why that is so? if х<-1 f'(x) = if -1< x < 1 if x > 1

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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Let
- (4x + 2)
2x2
if x < -1
f(x) =
if – 1< x < 1
2x
if x > 1
Find a formula for f'(x).
Note: f(x) is differentiable at x = -1, but is NOT differentiable at x = 1. Can you see why that is so?
if
х<-1
f'(x) =
if
-1< x < 1
if
x > 1
Transcribed Image Text:Let - (4x + 2) 2x2 if x < -1 f(x) = if – 1< x < 1 2x if x > 1 Find a formula for f'(x). Note: f(x) is differentiable at x = -1, but is NOT differentiable at x = 1. Can you see why that is so? if х<-1 f'(x) = if -1< x < 1 if x > 1
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