JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

\frac{d}{d x}\left(\tan ^{-1} \frac{\cos x}{1+\sin x}\right)

is equal to

View answer and explanation

Correct option: A

-\frac{1}{2}

The correct answer is A (

-\frac{1}{2}

) because after simplifying the trigonometric expression inside the inverse tangent, the derivative is a constant.

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