What is implicit (dy)/(dx),e^xy=1 ?

The answer to implicit (dy)/(dx),e^xy=1 is (dy)/(dx)=-y

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implicit (dy)/(dx),e^xy=1

implicit derivative

\frac{d y}{d x}, e^{x} y = 1

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

Solution steps

e^{x} y = 1

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 x^{2} - 2 d x

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

\frac{d y}{d x} = \frac{2 y}{3 x}

f (x) = 5 - 3 x, at x = - 2

x \to - 5 lim (4 x^{3} + x)

What is implicit (dy)/(dx),e^xy=1 ?
The answer to implicit (dy)/(dx),e^xy=1 is (dy)/(dx)=-y