Given the implicit relation

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Given the implicit relation xy+y2=6xy+y^{2}=6, determine d2ydx2\dfrac{d^{2}y}{dx^{2}} at the point (2,2)(2,2). (a) 127\dfrac{1}{27} (b) 227\dfrac{2}{27} (c) −227-\dfrac{2}{27} (d) 118\dfrac{1}{18}

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