What does a Vertical Tangent look like?
vertical tangent image
A vertical tangent is a point on a curve where the slope of the curve (i.e., the derivative of the curve) is undefined and tends towards infinity. Geometrically, the curve approaches a vertical line at that point, which is the tangent of the curve. For example, in the graph of the function y=x^(1/3), the point at x=0 is a vertical tangent, where the curve comes very close to the y-axis without crossing it, and the slope of the curve becomes infinitely steep. Visually, a vertical tangent appears as a sharp corner or cusp in the curve, where the curve changes direction suddenly and sharply, without having a well-defined slope.
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