For the circle

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

Problem

For the circle

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

, the expression for

\dfrac{d^{2}y}{dx^{2}}

in terms of

a

and

y

is (a)

-\dfrac{x^{2}}{y^{3}}

(b)

\dfrac{a^{2}}{y^{3}}

(c)

-\dfrac{a^{2}}{y^{3}}

(d)

-\dfrac{a^{2}}{y^{2}}

Related theory

Advanced Differentiation
Higher-Order Derivatives
Second order derivatives
Continuity and Differentiability

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