Mathematics

Problem

The equation

x e^{y} = 4

defines

y

implicitly as a function of

x

. What is

\dfrac{dy}{dx}

at the point

(2,\ln 2)

? a)

-\dfrac{1}{4}

\dfrac{1}{2}

-\dfrac{1}{2}

-\dfrac{1}{2\ln 2}