Let S(z) = {-3z? + 5z for z <0, for z> 0. 3z2-2 According to the definition of the derivative, to compute f'(0), we need to compute the left-hand limit lim which is and the right-hand limit lim which is We conclude that f'(0) is undefined

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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Let
S(z) = {-3z? + 5z for z <0,
3z2-2
for z > 0.
According to the definition of the derivative, to compute f'(0), we need to compute the left-hand limit
lim
which is
and the right-hand limit
lim
which is
We conclude that f'(0) is undefined
Transcribed Image Text:Let S(z) = {-3z? + 5z for z <0, 3z2-2 for z > 0. According to the definition of the derivative, to compute f'(0), we need to compute the left-hand limit lim which is and the right-hand limit lim which is We conclude that f'(0) is undefined
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