If the derivative of an equation is undefined at one point, what is happening at that point?-Collection of common programming errors

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discoverer: Uncorrupted.Innocence For instance if a chart of f'(x) looks like: ……….0______1_______3________4___… f'(x) positive…..0___undefined___positive___… What does the undefined part mean?

Any help is greatly appreciated.

  1. several options: 1) there is a discontinuity at this point (VA or jump discontinuity, as in a piecewise function) 2) there is a vertical tangent (derivative is a / 0) 3) there is a cusp (the RH and LH limits of the derivate are different)

    4) the function itself is undefined at this point

Source of the problem： answers.yahoo

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Originally posted 2013-11-09 22:45:18.