The differential coefficient of with respect to

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The differential coefficient of f(log⁡ex)f(\log_e x) with respect to xx, where f(x)=log⁡exf(x) = \log_e x, is (a) xlog⁡ex\frac{x}{\log_e x} (b) 1xlog⁡ex\frac{1}{x} \log_e x (c) 1xlog⁡ex\frac{1}{x \log_e x} (d) none of these

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