What is implicit (dy)/(dx),xy=56 ?

The answer to implicit (dy)/(dx),xy=56 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=56

implicit derivative

\frac{d y}{d x}, x y = 56

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

Solution steps

x y = 56

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} (sin (π (x - 4 y)))

\int (6 x^{2} - 4 x + 3) d x

\frac{\partial}{\partial x} (ln (x^{10} y))

f (x) = x^{2} - 2 x + 2

\frac{1 - x}{2}

What is implicit (dy)/(dx),xy=56 ?
The answer to implicit (dy)/(dx),xy=56 is (dy)/(dx)=-y/x