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

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

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

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

Discuss the differentiability of f(x)=|(log)_e|x||

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

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

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

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

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