Q105 / 160 · TS EAMCET 2025 (03 May Shift 1) · Mathematics

If $y=\left(1-x^2\right) \operatorname{Tanh}^{-1} x$ then $\frac{d^2 y}{d x^2}=$

  • A
    $\frac{2 x y}{\left(1+x^2\right)^2}$
  • B
    $-\frac{(x+y)}{\left(1-x^2\right)^2}$
  • C
    $\frac{2(x y)}{1-x^2}$
  • Correct answer
    D
    $-\frac{2(x+y)}{1-x^2}$

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

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