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

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| "in" -1 lt x le 2, where [.] repesents the greatest intger function .

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] +|1-x| , x in (-1,3),w h e r e[dot] represents greatest integer function.

Discuss the differentiability of f(x) =x[x]{x} in interval [-1,2] , where [.] and {.} denotes the greatest integer function and fractional part fntion , respectively .

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