Implicit Differentiation - Vertical and Horizontal Tangents

Описание к видео Implicit Differentiation - Vertical and Horizontal Tangents

Finding the vertical and horizontal tangent lines to an implicitly defined curve. We find the first derivative and then consider the cases:

Horizontal tangent line means slope is zero, slope is zero means derivative is zero. Find the relationship between x and y that makes that happen, substitute into original equation to solve for x and y.

Vertical tangent means slope is undefined; slope undefined means derivative is undefined, which means the denominator of the derivative is zero.

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