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Find dy/dx if x^2+xy+y^2=100...

Find `dy/dx if x^2+xy+y^2=100`

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`x^(2) + xy + y^(2) =100`
Differentiate both sides w.r.t. x
`2x + (x (dy)/(dx)+ y .1)+ 2y(dy)/(dx) = 0`
`rArr (x + 2y)(dy)/(dx)= - (2x + y)`
`rArr (dy)/(dx) = - (2x + y)/(x + 2y)`
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