Evaluate the Derivative of the Function at the Given Point $f ( t ) = \frac { 7 } { t - 1 } , \quad \left( 5 , \frac { 7 } { 4 } \right)$

Multiple Choice

Evaluate the derivative of the function at the given point. $f ( t ) = \frac { 7 } { t - 1 } , \quad \left( 5 , \frac { 7 } { 4 } \right)$

A) $f ^ {t } ( 5 ) = \frac { 7 } { 16 }$
B) $f ^ { t } ( 5 ) = - \frac { 7 } { 16 }$
C) $f ^ { t } ( 5 ) = - \frac { 7 } { 64 }$
D) $f ^ { t } ( 5 ) = - \frac { 7 } { 4 }$
E) $f ^ { t } ( 5 ) = \frac { 7 } { 4 }$