The curve lies partly in the first quadrant

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

Problem

The curve

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

lies partly in the first quadrant. Determine the coordinate(s) of every point in the first quadrant where the curve has a horizontal tangent line.

Related theory

Circle (Standard Equation)
Conic Sections
Advanced Differentiation
Implicit and parametric differentiation
Derivatives of implicit functions
Continuity and Differentiability

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