Limits, Continuity & Differentiability · Derivative of inverse trigonometric functions

y = \tan^{-1}\left(\dfrac{3\cos x - 4\sin x}{4\cos x + 3\sin x}\right) + 2\tan^{-1}\left(\dfrac{x}{1 + \sqrt{1 - x^2}}\right)

, then

\dfrac{dy}{dx}

x = \dfrac{\sqrt3}{2}

is equal to:

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