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Math Help - continuity and differentiability

  1. #1
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    Question continuity and differentiability

    Does continuity of a function imply it is differentiable?
    If so why is this?
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    ...

    Welcome to the forum
    -If a function is continuous at a point it is not necessarily diffrentiable
    eg- |x| at x = 0

    -if a function is differentiable at a point it will be continuous at that point
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