Explain why f(x) is not differentiable at x = 0.

Tsukanomon asked Sep 28, 2023

2,164 views

29 votes

Explain why f(x)
is not differentiable at x = 0.

Tsukanomon asked Sep 28, 2023

2.5k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

16 votes

The derivative at
x=0 is given by the limit

$\displaystyle \lim_(x\to0) (f(x) - f(0))/(x - 0)$

but this limit does not exist because
f(0) is undefined.

Shkarik answered Oct 2, 2023

2.9k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers