After differentiating the relation with respect to

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

After differentiating the relation x2+xy+y2=kx^{2}+xy+y^{2}=k with respect to xx, which of the following correctly gives dydx\dfrac{dy}{dx}? (a) 2x+yx+2y\dfrac{2x+y}{x+2y} (b) −x+2y2x+y-\dfrac{x+2y}{2x+y} (c) −2x+yx+2y-\dfrac{2x+y}{x+2y} (d) −2xx+2y-\dfrac{2x}{x+2y}

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