holiday blog 1 & my gift to all yall in 3 parts

there's a little twist to my next few blogs
I'm going to include an awesome song that people should listen to at the bottom of the blog, because people need to learn new music, and I actually think people on here would like them

anyway, this blog is gonna be about differentiation

these are ways to figure out if something is not differentiable:

1) if there is a curve
curves occur when absolute values and/or piecewises are found in the function that you are trying to take the derivative of
an example of a function with a curve is:
1) |3-x| you set what's inside of the absolute value equal to 0 and solve for x, so |3-x| is not differentiable at x=3

2) if there is a vertical asymptote
vertical asymptotes occur when x is raised to the (odd/odd)
x^5/9 would be a vertical asymptote, so x would not be differentiable at x=1

3) if it's not continuous
if a function is not continuous, then it's not differentiable, it's as simple as that

4) if there's a cusp
a cusp is when you have x^(even/odd)
x^2/7 would not be differentiable at x=0

first song:
Cthulu Sleeps by Deadmau5
(pronounced dead mouse)
http://www.youtube.com/watch?v=1vtV1ArrHuQ