13.0k views
0 votes
Explain why f(x)
is not differentiable at x = 0.​

Explain why f(x) is not differentiable at x = 0.​-example-1
User Oron
by
6.2k points

1 Answer

1 vote

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.

User CLiFoS
by
5.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.