Compute the Gradient of the Function at the Given Point $$f ( x , y ) = - 4 x ^ { 2 } + 6 y , \quad ( 4,3 )$$

Multiple Choice

Compute the gradient of the function at the given point.
- $$f ( x , y ) = - 4 x ^ { 2 } + 6 y , \quad ( 4,3 )$$

A) ${\nabla} f = - 128 \mathrm { i } + 18 \mathbf { j }$
B) ${\nabla} f = - 64 \mathrm { i } + 18 \mathrm { j }$
C) ${\nabla} f = - 32 \mathrm { i } + 18 \mathbf { j }$
D) ${\nabla} f = - 32 i + 6 j$