10. Show that f (x) = { x² sin(1/x) if x + 0 if x is differentiable, but the derivative is not continuous at x = 0.

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
icon
Related questions
Question

 Show that
f(x) = 

x 0 2 sin(1=x) if if x x 6= 0 = 0

is differentiable, but the derivative is not continuous at x = 0 

10. Show that
f (x) = {
x² sin(1/x) if x +0
if x = 0
is differentiable, but the derivative is not continuous at x = 0.
Transcribed Image Text:10. Show that f (x) = { x² sin(1/x) if x +0 if x = 0 is differentiable, but the derivative is not continuous at x = 0.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer