Determine the slope of the normal to the curve at the point .

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Determine the slope of the normal to the curve

xy+y^{2}=6

at the point

(1,2)

Related theory

Angle Between Two Lines
Straight Lines
Advanced Differentiation
Implicit and parametric differentiation
Derivatives of implicit functions
Continuity and Differentiability

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