Discuss the differentiability of function `f(x)=x-|x-x^2|`

Discuss the differentiability of the function f(x)={{:(2x-1,whenx,lt1/2),(3-6x,when x, ge1/2):} at x=1/2.

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

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

Discuss the differentiability of f(x)=x^3 at x=1

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

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