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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If y=tan⁡−1(acos⁡x−bsin⁡xbcos⁡x+asin⁡x)dydx=y=\tan ^{-1}\left(\frac{a \cos x-b \sin x}{b \cos x+a \sin x}\right) \frac{d y}{d x}=
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Correct option: C
-1
Option C (-1) is correct because after simplification using trigonometric identities and substitution, the derivative of y with respect to x is -1.

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