Let $f , g$ be differentiable functions on the real line $\mathbb { R }$ with $f ( 0 ) > g ( 0 )$. Assume that the set $M = \{ t \in \mathbb { R } \mid f ( t ) = g ( t ) \}$ is non-empty and that $f ^ { \prime } ( t ) \geq g ^ { \prime } ( t )$ for all $t \in M$. Then which of the following is necessarily true?\\
(A) If $t \in M$, then $t < 0$.\\
(B) For any $t \in M , f ^ { \prime } ( t ) > g ^ { \prime } ( t )$.\\
(C) For any $t \notin M , f ( t ) > g ( t )$.\\
(D) None of the above.