SOLUTION: For the curve given by 4x^2+y^2=48+2xy show that dy/dx = y−4x/y−x

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Question 1107276: For the curve given by 4x^2+y^2=48+2xy show that dy/dx = y−4x/y−x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Implicitly differentiate,
8xdx%2B2ydy=2%28xdy%2Bydx%29
8xdx-2ydx=2xdy-2ydy
%288x-2y%29dx=%282x-2y%29dy
dy%2Fdx=%288x-2y%29%2F%282x-2y%29%7D%7D%0D%0A%7B%7B%7Bdy%2Fdx=%284x-y%29%2F%28x-y%29
or
dy%2Fdx=%28y-4x%29%2F%28y-x%29