Find the Relative Extrema, If Any, Of $f(t)=t-7 \ln t$ Use the Second Derivative Test, If Possible

Multiple Choice

Find the relative extrema, if any, of $f(t) =t-7 \ln t$ . Use the Second Derivative Test, if possible.

A) relative minimum: none, relative maximum: $f\left(\frac{1}{7}\right) =\frac{1}{7}+7 \ln 7$
B) relative minimum: $f(7) =7-7 \ln 7$ , relative maximum: none
C) relative minimum: none, relative maximum: $f(7) =7-7 \ln 7$
D) relative minimum: $f\left(\frac{1}{7}\right) =\frac{1}{7}+7 \ln 7$ , relative maximum: none