Given f(x) = ||+x, at which point does the derivative not exist? Mathematically show that the derivative does not exist using the limit definition of the derivative.

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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 16CR
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Given f(x) = |x|+x, at which point does the derivative not exist? Mathematically
show that the derivative does not exist using the limit definition of the derivative.
Transcribed Image Text:Given f(x) = |x|+x, at which point does the derivative not exist? Mathematically show that the derivative does not exist using the limit definition of the derivative.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,