Solve this following Question

Question:

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

  1. $[0, \infty) \times R$

  2. $R \times(-\infty, 0)$

  3. $R \times[0, \infty)$

  4. $(-\infty, 0) \times R$


Correct Option: 3,

Solution:

Solution Not Required

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