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The differential coefficient of f(logex)...

The differential coefficient of `f(log_ex)` with respect to x, where `f(x)=log_ex`, is :

A

`(x)/(log_(e)x)`

B

`(1)/(x)log_(e)x`

C

`(1)/(xlog_(e)x)`

D

none of these

Text Solution

Verified by Experts

`f(log_(e)x)=log_(e)(log_(e)x)`
`therefore" "(df(log_(e)x))/(dx)=(1)/(log_(e)x)xx(1)/(x)`
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