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JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy
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Application +4 | -1
If f(x)−log⁡e(log⁡ex)f\left( x \right) - {\log _e}\left( {{{\log }_e}x} \right), then f′(x)f'\left( x \right) at x=ex = e, is
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Correct option: C
1e\frac{1}{e}
Option C (1e\frac{1}{e}) is correct because after applying the chain rule and simplifying, the derivative at x=e is 1e\frac{1}{e}.

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