Find an Equation to the Tangent Line for the Graph $f ( x ) = \left( 5 x ^ { 5 } + 5 \right) ^ { 2 } , \quad ( 1,100 )$

Multiple Choice

Find an equation to the tangent line for the graph of f at the given point. $f ( x ) = \left( 5 x ^ { 5 } + 5 \right) ^ { 2 } , \quad ( 1,100 )$

A) $y = 500 x + 400$
B) $y = 100 x + 400$
C) $y = 100 x - 400$
D) $y = 500 x - 400$
E) $y = - 500 x - 400$