At the point where \(\frac{dy}{dx}=∞,\) the tangent is parallel to y axis.

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Curve tracing is a technique in differential calculus that analyzes the characteristics and existence of Cartesian curves. It's also known as curve sketching.  Curve tracing is an analytical method that involves studying a curve's characteristics to draw an approximate shape. These characteristics include: Symmetry Intercepts Asymptote Tangents Multiple points Region of existence Sign of first and second derivatives  Curve tracing is used to visualize and understand the shape and behavior of a given function.  To graph curves in calculus, you can: Find the domain Find the holes... Show more

At the point where \(\frac{dy}{dx}=∞,\) the tangent is parallel to y axis.