Differential coefficient of \( \frac{\tan ^{-1} \mathrm{x}}{1+\tan ^{-1} \mathrm{x}} \) w.r.t. \...
Differential coefficient of \( \frac{\tan ^{-1} \mathrm{x}}{1+\tan ^{-1} \mathrm{x}} \) w.r.t. \( \tan ^{-1} \mathrm{x} \) is
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(1) \( \frac{1}{1+\tan ^{-1} x} \)
(2) \( \frac{-1}{1+\tan ^{-1} x} \)
W
(3) \( \frac{1}{\left(1+\tan ^{-1} x\right)^{2}} \)
(4) \( \frac{-1}{2\left(1+\tan ^{-1} x\right)^{2}} \)
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