Consider the function f(x)=|x]. Prove that this function is not differentiable at the point x=0. (HINT: You may want to think about limits from the left and right in the definition of the derivative.)
Consider the function f(x)=|x]. Prove that this function is not differentiable at the point x=0. (HINT: You may want to think about limits from the left and right in the definition of the derivative.)
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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Please include a formal proof. Thanks!
![Consider the function f(x)=|x]. Prove that this function is not differentiable at the
point x=0. (HINT: You may want to think about limits from the left and right in the
definition of the derivative.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8975dae8-fbcb-4b49-8e3a-715e0e53990f%2F1ffab3fb-bf3d-4fb5-9182-5297e8b200ad%2Frtb6nuo_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x)=|x]. Prove that this function is not differentiable at the
point x=0. (HINT: You may want to think about limits from the left and right in the
definition of the derivative.)
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