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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(x)=1−sin⁡2xf\left( x \right) = \sqrt {1 - \sin 2x}, then f′(x)f'\left( x \right) equals
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Correct option: C
−(cos⁡x+sin⁡x),- \left( {\cos x + \sin x} \right), for x∈(0,π/4)x \in \left( {0,\pi /4} \right)
Option C (−(cos⁡x+sin⁡x)- \left( {\cos x + \sin x} \right), for x∈(0,π/4)x \in \left( {0,\pi /4} \right)) is correct because it accounts for the absolute value and the interval in which the derivative is being evaluated.

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