A curve has first derivative

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

Problem

\displaystyle \frac{dy}{dx}= \frac{3x^{2}-y}{2y - x}

. Obtain an explicit formula for

\displaystyle \frac{d^{2}y}{dx^{2}}

expressed only in terms of

x

and

y

Related theory

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

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