The equation represents a curve

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

Problem

The equation x2+y2−4x=0x^{2}+y^{2}-4x=0 represents a curve. For this curve the derivative simplifies to dydx=2x−4−2y\dfrac{dy}{dx}=\dfrac{2x-4}{-2y}. Determine the coordinates of every point on the curve where dydx=0\dfrac{dy}{dx}=0.

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