Discuss the differentiability of `f(x)=|px[x]| ,-1 < x <= 2`

Discuss the differentiability of f(x)=|x||x-1|

Discuss the differentiability of f(x)=sin|x|

Discuss the differentiability of f(x)=e^(-|x|)

Discuss the differentiability of f(x)=|x-1|+|x-2|

Discuss the differentiability of f(x)=x|x| at x=0

Discuss the differentiability of f(x)=x|x| at x=0

Discuss the differentiability of f(x)=[x]+|1-x|,x in(-1,3), where [.] represents greatest integer function.

Discuss the differentiability of f(x)=|x^(3)| at x=0

Discuss the differentiability of f(x)=mim.{|x|,|x-2|,2-|x-1|} .

Discuss the differentiability of f(x)=||x^2-4|-12|dot