answersLogoWhite

0

Let f be a function and a be the given point you are considering. Then,


f(x) - f(a)
---------------
(x-a)


is the difference quotient. If the limit as x approaches a exists, then the function is differentiable at a, or we say the derivative exists at a. If that limit does not exist, then the derivative does not exist at that point.

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin
RossRoss
Every question is just a happy little opportunity.
Chat with Ross

Add your answer:

Earn +20 pts
Q: When does the derivative of a function exist at a given point?
Write your answer...
Submit
Still have questions?
magnify glass
imp