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Math Help - Lhd=rhd

  1. #1
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    Lhd=rhd

    Is there is any example of function in which LEFT HAND DERIVATIVE =RIGHT HAND DERIVATIVE but still the function is not differentiable
    is it possible in discontinuous function for example in floor function LHD=RHD =(0) but still floor x is not differentiable at integer.
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  2. #2
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    Quote Originally Posted by ayushdadhwal View Post
    Is there is any example of function in which LEFT HAND DERIVATIVE =RIGHT HAND DERIVATIVE but still the function is not differentiable
    is it possible in discontinuous function for example in floor function LHD=RHD =(0) but still floor x is not differentiable at integer.
    What about f(x) = \frac{x^2 - 1}{x+1}, for example?
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