Hitung dy/dx, a. x²y-4xy²-y³+x=10

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Hitung dy/dx 
a. x²y-4xy²-y³+x=10




 


(x^2 y)-(4xy^2)-(y^3)+(x)=10\\\\
(2x.y+x^2.y\)-(4.y^2+4x.2y.y\)-(3y^2.y\)+(1)=0\\\\
(2xy+x^2y\)-(4y^2+8xyy\)-(3y^2y\)+(1)=0\\\\
2xy+x^2y\-4y^2-8xyy\-3y^2y\+1=0\\\\
(x^2-8xy-3y^2)y\+2xy-4y^2+1=0\\\\
(x^2-8xy-3y^2)y\=-2xy+4y^2-1\\\\\\\\
y\= \\frac{-2xy+4y^2-1}{(x^2-8xy-3y^2)}\\\\\\\\
 \\frac{dy}{dx} = \\frac{-2xy+4y^2-1}{x^2-8xy-3y^2}\\\\\\\\



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