A calculus problem by Anmol Singh

Calculus Level 3

\[ \dfrac {d}{dx} \left( \tan ^{-1} \dfrac{a \cos x-b \sin x}{b \cos x+a \sin x} \right ) =? \]

where \( - \dfrac {\pi}{2} < x < \dfrac {\pi}{2} \) and \(\dfrac{a}{b} \times \tan x > -1\)

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