Find an Equation of the Tangent Line to the Given $$\frac { 1 } { 7 } y ^ { 2 } - x ^ { 3 } - x ^ { 2 } = 0 ; \quad ( 1 , \sqrt { 14 } )$$

question 13

Essay

Find an equation of the tangent line to the given curve at the indicated point. $$\frac { 1 } { 7 } y ^ { 2 } - x ^ { 3 } - x ^ { 2 } = 0 ; \quad ( 1 , \sqrt { 14 } )$$

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Definitions:

Natural Kind

Categories of objects or entities in the world that are believed to exist independently of human naming and classification practices.

Wolf

A large, carnivorous mammal from the genus Canis, known for its pack behavior and importance in various ecosystems and cultures.

Odd Number

An integer that cannot be divided evenly by two, exemplified by numbers like 1, 3, 5, etc.

Mirror

A reflective surface, typically glass coated with a metal amalgam, that reflects a clear image.