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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
ddx[e−ax2log⁡(sin⁡x)]\frac{d}{d x}\left[e^{-a x^{2}} \log (\sin x)\right]
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Correct option: C
e−ax2(cot⁡x−2axlog⁡sin⁡x)e^{-a x^{2}}(\cot x-2 a x \log \sin x)
Option C is correct because the derivative is found using the product rule and simplifying the resulting expression.

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