Q102 / 160 · AP EAMCET 2025 (24 MAY SHIFT 1) · Mathematics

If $y=\operatorname{Tan}^{-1}\left(\frac{3 x-x^3}{1-3 x^2}\right)+\operatorname{Tan}^{-1}\left(\frac{7 x}{1-12 x^2}\right)$, then at $x=0, \frac{d y}{d x}=$

  • A
    $6$
  • B
    $7$
  • C
    $9$
  • Correct answer
    D
    $10$

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

More Inverse Trigonometric Functions Questions