Medium
The differential coefficient of $\frac{{\tan^{-1}x}}{{1 + \tan^{-1}x}}$ with respect to $\tan^{-1}x$ is
- A$\frac{1}{{1 + \tan^{-1}x}}$
- B$\frac{{-1}}{{1 + \tan^{-1}x}}$
- C$\frac{1}{{{(1 + \tan^{-1}x)}^2}}$
- D$\frac{{-1}}{{2{(1 + \tan^{-1}x)}^2}}$
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