If f : R → R is a differentiable function such that ( x ) > 2 f ( x ) for all x ∈ R and f…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If f : R → R is a differentiable function such that
(x) > 2f(x) for all x ∈ R and f(0) = 1, then
(x) > 2f(x) for all x ∈ R and f(0) = 1, then- f ′(x) < e2x in (0, ∞)
- f(x) > e2x in (0, ∞)
- f(x) is increasing in (0, ∞)
- f(x) is decreasing in (0, ∞)
Answer
(B) f ( x ) > e 2 x in (0, ∞ )
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