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Differentiation question

2025 · 2 Apr · Shift 1 · Q47

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JEE Main
Mathematics
Differentiation
2025 · 2 Apr · Shift 1 · Q47

Differentiation question

2025 · 2 Apr · Shift 1 · Q47

JEE MainMathematicsDifferentiationNumerical+4 / −1

Let

f: \mathbf{R} \rightarrow \mathbf{R}

be a thrice differentiable odd function satisfying

f^{\prime}(x) \geq 0, f^{\prime}(x)=f(x), f(0)=0, f^{\prime}(0)=3

. Then

9 f\left(\log _e 3\right)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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