Question

If f '(x) is defined for all x, then f(x) is defined for all x?

Answer 1

if f(x) is differentiable everywhere,,surely f(x) must be defined everywhere..

Answer 2

thanks

Answer 3

http://en.wikipedia.org/wiki/Differentiable_function#Differentiability_and_continuity

"If ƒ is differentiable at a point [...], then ƒ must also be continuous at [the point]. "

I can't remember what this was called.

Answer 4

thanks for your help?

Answer 5

your welcome! ? o.O