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Find the Equation of the Tangent Line to the Graph x2x ^ { 2 }

question 62

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Find the equation of the tangent line to the graph of x2x ^ { 2 } + y2y ^ { 2 } = 1 at the point (12,32)\left( \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right) .
Is y=13x+233y = - \frac { 1 } { \sqrt { 3 } } x + \frac { 2 \sqrt { 3 } } { 3 } correct?


Definitions:

Intellectualization

A defense mechanism in which reasoning is used to block confrontation with an unconscious conflict and its associated emotional stress.

Repression

A defense mechanism where undesirable thoughts, memories, or feelings are unconsciously pushed out of conscious awareness.

Denial

A defense mechanism where a person refuses to accept reality or facts, blocking external events from awareness.

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