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The differential coefficient of f((log)e...

The differential coefficient of `f((log)_e x)` with respect to `x ,` where `f(x)=(log)_e x ,` is `x/((log)_e x)` (b) `1/x(log)_e x` `1/(x(log)_e x)` (d) none of these

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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