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If $ y = \tan^{-1}\left(\frac{3x - x^{3}}{1 - 3x^{2}}\right) $, then $ \frac{dy}{dx} $ is:

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Substitution simplifies inverse trigonometric derivatives significantly.

Updated On: Apr 8, 2026

$\frac{3}{1+x^{2}}$
$\frac{1}{1+x^{2}}$
$\frac{3}{1+9x^{2}}$
$\frac{3x^{2}}{1+x^{2}}$

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The Correct Option is A

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If \( y = \tan^{-1}\left(\frac{3x - x^{3}}{1 - 3x^{2}}\right) \), then \( \frac{dy}{dx} \) is:

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The Correct Option is A

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