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 :

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 :

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

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

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

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

Solution

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