Consider the curve

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

Problem

Consider the curve

x^{2}y+y^{2}=4x

. How many points lying in the first quadrant have a horizontal tangent? (a) 3 (b) 0 (c) 1 (d) 2

Related theory

Curve Analysis
Advanced Differentiation
Implicit and parametric differentiation
Derivatives of implicit functions
Continuity and Differentiability

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