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

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

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

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

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

Discuss the differentiability of f(x)={x e-(1/(|x|)+1/x),x!=0x ,x=0a tx=0

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)=x|x| at x=0 .

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