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

question 17

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: \(f ( \ln 7 ) = 4 - 7 \ln 7\)

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