Write the Equation of the Line Tangent to the Curve $x \ln y + 5 x y = 20 \text { at the point } ( 4,1 )$

Multiple Choice

Write the equation of the line tangent to the curve $x \ln y + 5 x y = 20 \text { at the point } ( 4,1 )$

A) $24 y - 5 x = 44$
B) $24 y + 5 x = - 44$
C) $5 x - 24 y = 44$
D) $5 x + 24 y = 44$
E) $5 x + 24 y = 0$