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

• A
  $R \times \left[ {0,\infty } \right)$
• B
  $\left( { - \infty ,0} \right) \times R$
• C
  $\left[ {0,\infty } \right) \times R$
• D
  $R \times \left( { - \infty ,0} \right)$