What is implicit 3/(x-y)=x ?

The answer to implicit 3/(x-y)=x is (dy}{dx}=-\frac{-x^2+2xy-y^2-3)/3

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implicit 3/(x-y)=x

implicit derivative

\frac{3}{x - y} = x

\frac{d y}{d x} = - \frac{- x ^{2} + 2 x y - y ^{2} - 3}{3}

Solution steps

\frac{3}{x - y} = x

Treat

y

y (x)

Differentiate both sides:

- \frac{3 ( 1 - \frac{d y}{d x} )}{( x - y ) ^{2}} = 1

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{- x ^{2} + 2 x y - y ^{2} - 3}{3}

\frac{d y}{d x} = - \frac{- x ^{2} + 2 x y - y ^{2} - 3}{3}

\frac{d}{d x} (\frac{ln ( x + 1 )}{e ^{x + 1}})

\frac{8 x}{x + 5}

\int (\frac{2 x}{y}) d x

\frac{d}{d x} ((x^{2} ln (x^{(55)}))^{(\frac{1}{3})})

\frac{\partial}{\partial x} (A e^{- b (A, x, v, t) (x - v t)^{2}})

What is implicit 3/(x-y)=x ?
The answer to implicit 3/(x-y)=x is (dy}{dx}=-\frac{-x^2+2xy-y^2-3)/3