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Chain Rule of Differentiation

If fx = log...

Question

If $f (x) = {log}_{x} {ln (x)}$ , then $f^{'} (x)$ at $x = e$ is:

A

e

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B

- e

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C

e^{2}

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D

e^{- 1}

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Solution

The correct option is D $e^{- 1}$

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Similar questions

f (x) = {log}_{x} (ln x),

f^{'} (x)

x = e

x

means natural logarithm of

x,

{log}_{e} x

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x = e

f (x) = {log}_{e} {log (x)},

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f (x) = cos (tan x)

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f (x) = {log}_{x} (log x)

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