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Mathematics · 2025

JEE Main · 2 April 2025, Shift 1 · Q24

Let f: R → R be a thrice differentiable odd function satisfying f^′(x) ≥ 0, f^′ ′(x)=f(x), f(0)=0, f^′(0)=3. Then 9 f( log_e 3) is equal to ____.

Let $\displaystyle f: \mathbf{R \rightarrow \mathbf { R }}$ be a thrice differentiable odd function satisfying $\displaystyle f^{\prime}(x) \geq 0, f^{\prime \prime}(x)=f(x), f(0)=0, f^{\prime}(0)=3$. Then $\displaystyle 9 f\left(\log _{\mathrm{e}} 3\right)$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.