For the relation

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

Problem

For the relation

x e^{y}+y=0

, find

\dfrac{dy}{dx}

in terms of

x

and

y

. (a)

-\dfrac{e^{y}}{1-xe^{y}}

(b)

\dfrac{e^{y}}{1+xe^{y}}

(c)

-\dfrac{e^{y}}{1+xe^{y}}

(d)

-\dfrac{1+e^{y}}{x e^{y}}

Related theory

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