What is implicit (dy)/(dx),xy=6 ?

The answer to implicit (dy)/(dx),xy=6 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),xy=6

implicit derivative

\frac{d y}{d x}, x y = 6

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

Solution steps

x y = 6

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 y} (x + 2 y^{\frac{1}{2}})

y = \frac{7}{x - 1}

4 cos (5 ln (x))

(cos (t) + t sin (t)) + (sin (t) - t cos (t))

\int 9 x^{4} cos (x^{5} + 6) d x

What is implicit (dy)/(dx),xy=6 ?
The answer to implicit (dy)/(dx),xy=6 is (dy)/(dx)=-y/x