Find the Linearization of the Function at the Given Point $$f ( x , y , z ) = 7 x ^ { 2 } + 8 y ^ { 2 } + 7 z ^ { 2 } \text { at } ( 1 , - 2,3 )$$

Multiple Choice

Find the linearization of the function at the given point.
- $$f ( x , y , z ) = 7 x ^ { 2 } + 8 y ^ { 2 } + 7 z ^ { 2 } \text { at } ( 1 , - 2,3 )$$

A) L(x, y, z) = 14x - 32y + 42z - 102
B) L(x, y, z) = 14x + 32y + 42z - 102
C) L(x, y, z) = 14x + 32y + 42z + 102
D) L(x, y, z) = 14x - 32y + 42z + 102