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Numerade Educator

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Problem 49 Easy Difficulty

Find the derivative of the function. Simplify where possible.
$ y = (tan^{-1} x)^2 $

Answer

$y^{\prime}=2\left(\tan ^{-1} x\right)^{1} \cdot \frac{d}{d x}\left(\tan ^{-1} x\right)=2 \tan ^{-1} x \cdot \frac{1}{1+x^{2}}=\frac{2 \tan ^{-1} x}{1+x^{2}}$

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