What is implicit (dy)/(dx), x/y =0 ?

The answer to implicit (dy)/(dx), x/y =0 is (dy)/(dx)= y/x

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implicit (dy)/(dx), x/y =0

implicit derivative

\frac{d y}{d x}, \frac{x}{y} = 0

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

Solution steps

\frac{x}{y} = 0

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}

\int_{0}^{4} x^{4} d x

(\frac{4}{x}), (16 x), (\frac{1}{4} x)

x \to 2 + lim (\frac{2}{x ^{2} - 4})

\int \frac{3 ^{5 x} - 1}{3 ^{5 x}} d x

3 (5 e^{5 x} cos (6 x) - 6 e^{5 x} sin (6 x))

What is implicit (dy)/(dx), x/y =0 ?
The answer to implicit (dy)/(dx), x/y =0 is (dy)/(dx)= y/x