if x^2+xy+y^2=a^2 find the value of dy/dx
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dx²/dx + d(xy) + dy²/dy*dy/dx = da²/dx
2x + dx/dx*y+ xdy/dx+2ydy/dx =0. (b/c it's constant term)
=2x+y+xdy/dx+2ydy/dx=0
=> 2x+y= -xdy/dx-2ydy/dx
=>2x+y= -dy/dx(x+2y)
there for dy/dx= -2x+y /x+2y
hope it help u
2x + dx/dx*y+ xdy/dx+2ydy/dx =0. (b/c it's constant term)
=2x+y+xdy/dx+2ydy/dx=0
=> 2x+y= -xdy/dx-2ydy/dx
=>2x+y= -dy/dx(x+2y)
there for dy/dx= -2x+y /x+2y
hope it help u
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