If f : R → R is a twice differentiable function such that f ′′( x ) > 0 for all x ∈ R …
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If f : R → R is a twice differentiable function such that
f ′′(x) > 0 for all x ∈ R, and \(f\left(\frac{1}{2}\right)=\frac{1}{2}, f(1)=1 \text {, then }\)
f ′′(x) > 0 for all x ∈ R, and \(f\left(\frac{1}{2}\right)=\frac{1}{2}, f(1)=1 \text {, then }\)
- f′ (1) ≤ 0
- f′ (1) > 1
Answer
(D) f ′ (1) > 1
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