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

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

Discuss the differentiability of f(x)={(x-e)2^(- 2^((1/((e-x))))), x!=e and 0 at x=e . at the point x=e

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

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

Discuss differentiability of f(x)=(e^(|x|-1)-1)|x^(4)-x^(2)| .

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|x| at x=0 .

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