The graph of the piece-wise defined function f(x) is given below. 1 if x < -1 f(x) = if - 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2.
The graph of the piece-wise defined function f(x) is given below.
1
if x < -1
f (x) :
x2
if - 1<x < 2
4
if 2 < x
5
3
2
-4
-3
2
For the derivative f' compute each of the following. Write DNE if the derivative does
not exist at the given point.
1) f'(-2) =
2) f'(0) =
3) f'(1) =
4) f'(2) =
Transcribed Image Text:2. The graph of the piece-wise defined function f(x) is given below. 1 if x < -1 f (x) : x2 if - 1<x < 2 4 if 2 < x 5 3 2 -4 -3 2 For the derivative f' compute each of the following. Write DNE if the derivative does not exist at the given point. 1) f'(-2) = 2) f'(0) = 3) f'(1) = 4) f'(2) =
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