Let $S = \left\{ ( \lambda , \mu ) \in R \times R : f ( t ) = \left( | \lambda | e ^ { t } - \mu \right) \cdot \sin ( 2 | t | ) , t \in R \right.$, is a differentiable function $\}$. Then $S$ is a subest of?\\
(1) $R \times [ 0 , \infty )$\\
(2) $( - \infty , 0 ) \times R$\\
(3) $[ 0 , \infty ) \times R$\\
(4) $R \times ( - \infty , 0 )$