What is implicit (dy)/(dx),9xy=5 ?

The answer to implicit (dy)/(dx),9xy=5 is (dy)/(dx)=-y/x

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implicit (dy)/(dx),9xy=5

implicit derivative

\frac{d y}{d x}, 9 x y = 5

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

Solution steps

9 x y = 5

Treat

y

y (x)

Differentiate both sides:

9 (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{s + 5}{( s + 2 ) ( s + 3 )}

x \to \infty lim (\frac{8}{x} - 8)

y = \frac{cos ( x )}{2 + sin ( x )}

cos (2 x + π)

5 t y^{^{'}} + (10 + 5 t (\frac{2 ( t - 7 )}{7 t})) y = 0

What is implicit (dy)/(dx),9xy=5 ?
The answer to implicit (dy)/(dx),9xy=5 is (dy)/(dx)=-y/x