Let f : [0, 1] → R (the set of all real numbers) be a function. Suppose the function f is…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f : [0, 1] → R (the set of all real numbers) be a function. Suppose the function f is twice differentiable, f (0) = f (1) = 0 and satisfies f ′′(x) – 2f ′(x) + f (x) ≥ ex, x ∈ [0, 1].
If the function e–x f(x) assumes its minimum in the interval [0, 1] at x = 1/4, which of the following is true?
If the function e–x f(x) assumes its minimum in the interval [0, 1] at x = 1/4, which of the following is true?
Answer
(C)
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