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JEE MAIN 2019
08-04-2019 S1
Question
If $2 y=\left(\cot ^{-1}\left(\frac{\sqrt{3} \cos x+\sin x}{\cos x-\sqrt{3} \sin x}\right)\right)^2, x \in\left(0, \frac{\pi}{2}\right)$ then $\frac{\mathrm{dy}}{\mathrm{dx}}$ is equal to:
Select the correct option:
A
$2 x-\frac{\pi}{3}$
B
$x-\frac{\pi}{6}$
C
$\frac{\pi}{3}-x$
D
$\frac{\pi}{6}-x$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Mathematics
Medium
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