\( \text { If } 2 x^y+3 y^x=20 \text {, then } \frac{d y}{d x} \text { at }(2,2) \text { is equal to } \) [JEE Main 2023…

\(
-\left(\frac{3+\log _e 8}{2+\log _e 4}\right)
\)

\(
-\left(\frac{2+\log _e 8}{3+\log _e 4}\right)
\)

\(
-\left(\frac{3+\log _e 16}{4+\log _e 8}\right)
\)

\(
-\left(\frac{3+\log _e 4}{2+\log _e 8}\right)
\)