plz help,

at x=3 the function given by

f(x)= x^2 , x<36x-9 , x ≥ 3is the function both continuous and differentiable?

Printable View

- Jun 1st 2010, 05:18 PMwolfxpaxcontinuity
plz help,

at x=3 the function given by

f(x)= x^2 , x<36x-9 , x ≥ 3is the function both continuous and differentiable? - Jun 1st 2010, 05:35 PMskeeter
- Jun 1st 2010, 09:19 PMwolfxpax
its needs to be defined?

- Jun 2nd 2010, 04:01 AMHallsofIvy
Rule I: If you do not know the meaning of words in a problem, do not even start on the problem until you have looked up those words!

No, just being "defined" at a point does not mean a function is continuous or differentiable at that point. What is the**definition**of "continuous"? What is the**definition**of "differentiable"? - Jun 2nd 2010, 05:40 AMskeeter
have a look at the link ...

Pauls Online Notes : Calculus I - Continuity