Find the Linearization of the Function at the Given Point $$f ( x , y ) = 4 x ^ { 2 } y ^ { 3 } \text { at } ( - 9,5 )$$

Multiple Choice

Find the linearization of the function at the given point.
- $$f ( x , y ) = 4 x ^ { 2 } y ^ { 3 } \text { at } ( - 9,5 )$$

A) L(x, y) = -9000x + 24,300y - 162,000
B) L(x, y) = 1000x - 2700y - 162,000
C) L(x, y) = -9000x - 2700y - 162,000
D) L(x, y) = 1000x + 24,300y - 162,000