Discuss the differentiability of `f(x)=m a xi mu m{2sinx ,1-cosx}AAx in (0,pi)dot`

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

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

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

Discuss the differentiability of f(x)="max"{tan^(-1)x ,cot^(-1)x}dot

Discuss the differentiability of f(x)={(sinx^2)/x ,x!=0 0,x=0a tx=0

Discuss the differentiability of f(x)=|x|sinx+|x-2|sgn(x-2)+|x-3|dot

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

Discuss the continuity of f(x)=sgn(2cosx-1)

Discuss the differentiability of f(x)=[x]+|1-x|, x in (-1,3),w h e r e[dot] represents greatest integer function.

Discuss the continuity and differentiability of f(x)=|x+1|+|x|+|x-1|AAx in R ; also draw the graph of f(x)