The derivative of y = 1 - mod x at x = 0 is ....??

Let y=fx=1-xf'x=limdx01-x+dx-1+xdx=x-x+dxdxwhen x>0, f'x=limdx0+x-x+dxdx=-dxdx=-1=-xx=xxwhen x<0, f'x=limdx0-x-x+dxdx=dxdx=1=xx=xxf'x at x= 0 is not defined.

  • -1

it can be +- 1.

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