Limit, Continuity and Differentiability: JEE Main 2018 Mathematics question

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