Mathematics

Problem

Given the implicit equation

(\csc y)^{2}+x y=4

, find

\dfrac{dy}{dx}

in terms of

x

and

y

. a)

-\dfrac{y}{x+2\csc^{2} y\cot y}

-\dfrac{y}{x-2\csc^{2} y\cot y}

\dfrac{y}{x-2\csc^{2} y\cot y}

-\dfrac{y}{x-\csc^{2} y\cot y}