Let f ( x ) be a non-constant twice differentiable function defined on (–∞, ∞) such that…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f(x) be a non-constant twice differentiable function defined on (–∞, ∞) such that f (x) = f (1 – x) and \(f^{\prime}\left(\frac{1}{4}\right)=0\) Then,
- f
Answer
(A) f ″ ( x ) vanishes at least twice on [0, 1]
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