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Math Help - Please prove

  1. #1
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    Please prove

    Prove for the function f defined so that f(x)=|x-3|, for each real number x, the real number 1 is not the derivative of f at p=3.
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  2. #2
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    Hello,
    Quote Originally Posted by cshaw View Post
    Prove for the function f defined so that f(x)=|x-3|, for each real number x, the real number 1 is not the derivative of f at p=3.
    Consider the functions in two situations :
    If x<3 --> x-3<0 --> |x-3|=3-x
    If x>3 --> x-3>0 --> |x-3|=x-3
    the derivative goes to -1 from the left, and goes to 1 from the right.

    It is not differentiable at p=3
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    !!!!!!!

    Thanks for your help.
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