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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(x)=log⁡x2(logex),f\left( x \right) = {\log _{{x^2}}}\left( {lo{g_e}x} \right), then f′(x)f'\left( x \right) at x=ex = e is
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Correct option: C
12e\frac{1}{{2e}}
Option C (12e\frac{1}{{2e}}) is correct because after differentiating and substituting x=e, the result is 12e\frac{1}{{2e}}.

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