What is implicit (dy)/(dx),e^xy=2 ?

The answer to implicit (dy)/(dx),e^xy=2 is (dy)/(dx)=-y

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implicit (dy)/(dx),e^xy=2

implicit derivative

\frac{d y}{d x}, e^{x} y = 2

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

Solution steps

e^{x} y = 2

Treat

y

y (x)

Differentiate both sides:

e^{x} y + \frac{d y}{d x} e^{x} = 0

Isolate

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

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

\int (2 x + 5 - \frac{1}{x}) d x

\frac{\partial}{\partial y} (6 x y)

\int \frac{y}{( x ^{2} + y ^{2} )} d y

\frac{d}{d x} (\frac{x ^{3} - 2}{x})

y^{^{'}} = \frac{y ^{2} - x ^{2}}{x y}

What is implicit (dy)/(dx),e^xy=2 ?
The answer to implicit (dy)/(dx),e^xy=2 is (dy)/(dx)=-y