Q102 / 160 · AP EAMCET 2025 (26 MAY SHIFT 2) · Mathematics

If $\mathrm{y}=\operatorname{Sin}^{-1}\left(\frac{2 \mathrm{x}}{1+\mathrm{x}^2}\right)$ and $\left(\frac{\mathrm{d}^2 \mathrm{y}}{\mathrm{dx}^2}\right)_{\mathrm{x}=2}=\mathrm{k}$, then $25 \mathrm{k}=$

  • A
    $(-3)^2$
  • Correct answer
    B
    $(-2)^3$
  • C
    $3$
  • D
    $(-2)^5$

Hence, the correct answer is option: 'B'.

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