Find the Relative Extrema, If Any, Of $f ( t ) = e ^ { t } - 7 t - 3$

Multiple Choice

Find the relative extrema, if any, of $f ( t ) = e ^ { t } - 7 t - 3$ . Use the Second Derivative Test, if possible.

A) relative minimum: none, relative maximum: $f ( \ln 3 ) = - 7 \ln 7$
B) relative minimum: $f ( \ln 7 ) = 4 - 7 \ln 7$ , relative maximum: none
C) relative minimum: $f ( \ln 3 ) = - 7 \ln 7$ , relative maximum: none
D) relative minimum: none, relative maximum: $f ( \ln 7 ) = 4 - 7 \ln 7$