What is implicit (dy)/(dx),xy=4 ?

The answer to implicit (dy)/(dx),xy=4 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=4

implicit derivative

\frac{d y}{d x}, x y = 4

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

Solution steps

x y = 4

Treat

y

y (x)

Differentiate both sides:

y + x \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{y}{x}

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

x \to 3 + lim (\frac{5}{3 - x})

x y^{^{'}} = 2 x^{3} e^{3 x} + 2 y

\int \frac{( x - 8 )}{x ^{2} - 7 x + 10} d x

y^{^{''}} + 2 y^{^{'}} + y = 2 e^{x}

\frac{\partial}{\partial y} (e^{- 2 x^{2} - y^{2}})

What is implicit (dy)/(dx),xy=4 ?
The answer to implicit (dy)/(dx),xy=4 is (dy)/(dx)=-y/x