Let S-6x2 + 6z for z <0, 6x2-2 f(x) = for z >0. According to the alternate form of 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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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Let
-6x² + 6x forI<0,
6x2 – 2
f(x) =
for x >0.
According to the alternate form of 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
Transcribed Image Text:Let -6x² + 6x forI<0, 6x2 – 2 f(x) = for x >0. According to the alternate form of 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
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