Let f:[0,2] R be a twice differentiable function such that f^ (x)>0 , for all x (0,2) …
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let \(f:[0,2] \rightarrow R\) be a twice differentiable function such that \(f^{\prime \prime}(x)>0\), for all \(x \in(0,2)\). If \(\phi(x)=f(x)+f(2-x)\), then ϕ is:
- increasing on (0, 2)
- increasing on (0, 1) and decreasing on (1, 2)
- decreasing on (0, 2)
- decreasing on (0, 1) and increasing on (1, 2)
Answer
(D) decreasing on (0, 1) and increasing on (1, 2)
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