lets talk about differentiability and stuffs
how to tell if something isn't differentiable:
1. theres a curve - when absolute values or piecewises are in the function you are deriving; |4-x|: set the inside equal to 0 and solve for x. |4-x| is not differentiable at x = 4
2. it is discontinuous - if it ain't continuous, it ain't differentiable. period.
3. theres a cusp - a cusp occurs when you have x^4/5 for example; or x^even #/odd #
4. a vertical asymptote - a vertical asymptote occurs when you have x^3/5 for example; or x^odd #/odd #
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