Mathematics

Mathematics

Problem

For the curve defined implicitly by

x^{2}+xy+y^{2}=9

, at which

x

–value(s) does

y

attain a relative extremum with respect to

x

on branches where

\dfrac{dy}{dx}

is defined? a)

x=\sqrt{3}

\text{ only} b)

x=\pm\sqrt{3}

c)

x=\pm2\sqrt{3}

d) \text{No real }x\text{–values}

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