suzymott3850 suzymott3850
  • 01-07-2018
  • Mathematics
contestada

Is the absolute value of x -1 differentiable at x?

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DeanR
DeanR DeanR
  • 01-07-2018
[tex]f(x)=|x-1|[/tex]

is differentiable everywhere except at [tex]x=1.[/tex]  There the derivative limit from the left gives -1 and from the right +1, different, so no derivative at [tex]x=1.[/tex]


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