Find d/dx{mod(x)}

please give answer with explanation

c if its differentiability ten it doesn''t exist at x=0 as the left hand derivative at x=0 is -1 and the rite hand derivative at x=0 is 1

 but as in case the ans would b,

1  if x greater tan 0

-1 if x less tan 0

x/|x|

it depends if x is positive or negative

answer is +1 fro positive and -1 for negative...