The derivative of |Method of Differentiation| JEE-MAIN 2020

JEE MAIN 2020

05-09-20 S2

Question

The derivative of $\tan ^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right)$ with respect to $\tan ^{-1}\left(\frac{2 x \sqrt{1-x^2}}{1-2 x^2}\right)$ at $x=\frac{1}{2}$ is :

Select the correct option:

$\frac{2 \sqrt{3}}{3}$

$\frac{2 \sqrt{3}}{5}$

$\frac{\sqrt{3}}{10}$

$\frac{\sqrt{3}}{12}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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