For the curve

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

Problem

For the curve

x^{2}+y^{2}=25

, find

\dfrac{dy}{dx}

. (a)

-\dfrac{y}{x}

(b)

\dfrac{x}{y}

(c)

-\dfrac{x}{y}

(d)

-\dfrac{x}{2y}

Related theory

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

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