Find the Slope of the Graph of the Function at the Given

Multiple Choice

Find the slope of the graph of the function at the given value. $f ( x ) = 2 x ^ { 2 } + 5 x - \frac { 7 } { x ^ { 2 } }$ when $x = - 4$

A) $f ^ { t } ( - 4 ) = \frac { 359 } { 8 }$
B) $f ^ { t } ( - 4 ) = \frac { 359 } { 2 }$
C) $f ^ { t } ( - 4 ) = - \frac { 359 } { 8 }$
D) $f ^ { t} ( - 4 ) = - \frac { 359 } { 32 }$
E) $f ^ { t } ( - 4 ) = \frac { 359 } { 32 }$