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Limits Continuity and Differentiability question

2018 · 15 Apr · Shift 1 · Q45

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JEE Main
Mathematics
Limits Continuity and Differentiability
2018 · 15 Apr · Shift 1 · Q45

Limits Continuity and Differentiability question

2018 · 15 Apr · Shift 1 · Q45

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

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 :

A
R $\times$ [0, $\infty$ )
B
[0, $\infty$ ) $\times$ R
C
R $\times$ ( $-\infty$ , 0)
D
( $-\infty$ , 0) $\times$ R

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