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    Horizontal Cusp

    Alternate name

    horizontal cusp

    Definition

    A function f(x) has a spinode (also called a horizontal cusp) at a point x_0 if f(x) is continuous at x_0 and lim_(x->x_0) f'(x) = ∞ from one side while lim_(x->x_0) f'(x) = - ∞ from the other side, so the curve is continuous but the derivative is not.s

    Related terms

    acnode | crunode | cusp | tacnode

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