$y = e ^ { t }$ , and Evaluate the Partial Derivative At

Multiple Choice

$\text { Find } \frac { \partial w } { \partial t } \text { using the appropriate Chain Rule for } w = y ^ { 3 } - 8 x ^ { 2 } y \text { where } x = e ^ { 3 } \text { and }$ $y = e ^ { t }$ , and evaluate the partial derivative at $s = - 3$ and $t = 2$ . Round your answer to two decimal places.

A) $1,209.99$
B) $806.71$
C) $1,210.14$
D) $806.69$
E) $1,209.20$