What is implicit (dy)/(dx),xy=10 ?

The answer to implicit (dy)/(dx),xy=10 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=10

implicit derivative

\frac{d y}{d x}, x y = 10

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

Solution steps

x y = 10

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}

\frac{\partial}{\partial x} (2 e^{x} - 4 x e^{y})

\int sec^{2} (x t a) n^{6} x d x

\frac{\partial}{\partial x} (y^{2} - x^{3})

\frac{d}{d x} (ln (3 + x - x^{3}))

\int x x - 6 d x

What is implicit (dy)/(dx),xy=10 ?
The answer to implicit (dy)/(dx),xy=10 is (dy)/(dx)=-y/x