For the relation

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

Problem

For the relation

e^{xy}+x^{2}y=10

, which of the following expressions equals

\dfrac{dx}{dy}

in terms of

x

and

y

? (a)

-\dfrac{e^{xy}y+2xy}{e^{xy}x+x^{2}}

(b)

-\dfrac{e^{xy}x+x^{2}}{e^{xy}y+2xy}

(c)

-\dfrac{x^{2}}{e^{xy}y+2xy}

(d)

\dfrac{e^{xy}x+x^{2}}{e^{xy}y+2xy}

Related theory

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