What is implicit (dy)/(dx), x/y =9 ?

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

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implicit (dy)/(dx), x/y =9

implicit derivative

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

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

Solution steps

\frac{x}{y} = 9

Treat

y

y (x)

Differentiate both sides:

\frac{y - x \frac{d y}{d x}}{y ^{2}} = 0

Isolate

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

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

\frac{d y}{d x} = y sin (x)

\int \frac{e ^{2 x}}{2 + e ^{2 x}} d x

\int tan^{4} (x) sec^{4} (x) d x

\int x^{2} + 2 y d y

\int 5 sec^{6} (t) d t

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