# Math Help - Calculus Help

1. ## Calculus Help

I'm asked to list the conditions where a function would not be differentiable, graph them and also explain why they are not differentiable. Can anyone point me in the righth direction.

Corner, discontinuity, and vertical tangent

n/m again now i'm having trouble finding the reason why they cannot be differentiable. Any help is appreciated

2. Originally Posted by JonathanEyoon
Corner, vertical tangent
Limits don't exist?

3. Originally Posted by JonathanEyoon
I'm asked to list the conditions where a function would not be differentiable, graph them and also explain why they are not differentiable. Can anyone point me in the righth direction.

A point is continuous if you can find the limiting value of the function as x approaches that point. In the situation of a cusp, it is continuous, but the definition of the derivative does not hold. The following example shows the absence of a derivative for $f(x)=|x|$ at $x=0$
$lim_{h \rightarrow 0} \frac{f(x+h) - f(x)}{h} = \frac{|h|}{h} \Rightarrow \frac{0}{0} ~ DNE$