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

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

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implicit (dy)/(dx),e^xy=5

implicit derivative

\frac{d y}{d x}, e^{x} y = 5

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

Solution steps

e^{x} y = 5

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

y = \frac{4 x}{x + 2}

\frac{\partial}{\partial x} (e^{s i n (x + c t)})

t \frac{d y}{d t} = t^{3} + 11 t^{3} y

\frac{d}{d x} (lo g_{7} (6 x - 5))

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