What is implicit (dy)/(dx),3xy=6 ?

The answer to implicit (dy)/(dx),3xy=6 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),3xy=6

implicit derivative

\frac{d y}{d x}, 3 x y = 6

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

Solution steps

3 x y = 6

Treat

y

y (x)

Differentiate both sides:

3 (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}

\int_{- 1}^{2} (x^{3}) d x

f (x) = 2 x + 1, 1, 5

\int sin (π)

x \to \infty lim (\frac{y}{x})

What is implicit (dy)/(dx),3xy=6 ?
The answer to implicit (dy)/(dx),3xy=6 is (dy)/(dx)=-y/x