Let S ={(λ, μ) ∈ R × R: f( t )=(|λ| e^| t | -μ).. sin (2| t |), t ∈ R, is a differentiable function }. Then S is a subset of:

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