Determine the Percentage Rate of Change of F(t) = $\mathrm { e } ^ { - 0.09 \mathrm { t } ^ { 2 } }$

Multiple Choice

Determine the percentage rate of change of F(t) = $\mathrm { e } ^ { - 0.09 \mathrm { t } ^ { 2 } }$ at t = 1 and t = 5.

A) $\frac { F ^ { \prime } ( 1 ) } { F ( 1 ) }$ = 18%, $\frac { F ^ { \prime } ( 5 ) } { F ( 5 ) }$ = 90%
B) $\frac { F ^ { \prime } ( 1 ) } { F ( 1 ) }$ = -18%, $\frac { F ^ { \prime } ( 5 ) } { F ( 5 ) }$ = -90%
C) $\frac { F ^ { \prime } ( 1 ) } { F ( 1 ) }$ = 19%, $\frac { F ^ { \prime } ( 5 ) } { F ( 5 ) }$ = 70%
D) $\frac { F ^ { \prime } ( 1 ) } { F ( 1 ) } = - 19 \% , \frac { F ^ { \prime } ( 5 ) } { F ( 5 ) } = - 70 \%$