Find the Equation of the Line Normal to the Curve $x ^ { 3 } y ^ { 4 } - 5 = x ^ { 3 } - x ^ { 2 } + y$

Multiple Choice

Find the equation of the line normal to the curve defined by the equation $x ^ { 3 } y ^ { 4 } - 5 = x ^ { 3 } - x ^ { 2 } + y$ at the point (2, $- 1$ ) .

A) $33 x + 4 y - 62 = 0$
B) $33 x - 4 y - 62 = 0$
C) $33 x + 4 y + 62 = 0$

D) $33 x - 4 y + 62 = 0$
E) $4 x - 33 y - 41 = 0$
F) $4 x + 33 y - 41 = 0$
G) $4 x - 33 y + 41 = 0$
H) $4 x + 33 y + 41 = 0$