Find the Equation of the Tangent Line to the Curve $y =$

question 56

Essay

Find the equation of the tangent line to the curve $y =$ $x - 2 x ^ { 2 }$ at the point $( 2 , - 6 )$ .

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Definitions:

Anorexics

Individuals who suffer from anorexia nervosa, an eating disorder characterized by an obsessive fear of gaining weight and severe restriction of food intake.

Impulse Control Deficits

A lack of restraint manifested in disregard for social conventions, impulsivity, and poor risk assessment, often leading to negative outcomes.

Childhood Physical

Relates to the bodily growth, development, and physical health of children from birth to adolescence.

Anorexics and Bulimics

Individuals suffering from anorexia nervosa and bulimia nervosa, eating disorders characterized by extreme dietary restriction and purging behaviors, respectively.