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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1
If y=tan⁡−1(log⁡(ex2)log⁡(ex2))+tan⁡−1(3+2log⁡x1−6log⁡x)y = {\tan ^{ - 1}}\left( {\frac{{\log \left( {\frac{e}{{{x^2}}}} \right)}}{{\log \left( {e{x^2}} \right)}}} \right) + {\tan ^{ - 1}}\left( {\frac{{3 + 2\log x}}{{1 - 6\log x}}} \right), then d2ydx2\frac{{{d^2}y}}{{d{x^2}}} is
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Correct option: C
0
Option C (0) is correct because after simplifying the expression for y, we find that y is a constant, and therefore its second derivative is 0.

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