How many distinct real points on the curve have a horizontal tangent?

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

Problem

How many distinct real points on the curve

x^{2}y+y^{2}=6x

have a horizontal tangent? (a)

0

(b)

1

(c)

2

(d)

3

Related theory

Advanced Differentiation
Implicit and Parametric Differentiation
Derivatives of implicit functions
Continuity and Differentiability

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