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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
The differential coefficient of f(log⁡ex)f\left(\log _{e} x\right) w.r.t. xx, where f(x)=log⁡exf(x)=\log _{e} x is
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Correct option: C
(xlog⁡ex)−1\left(x \log _{e} x\right)^{-1}
Option C ((xlog⁡ex)−1(x \log_e x)^{-1}) is correct because it is the result of applying the chain rule to find the derivative of the composite function.

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