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The differential coefficient of f(logx) ...

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

A

`(x)/(logx)`

B

`(xlogx)^(-1)`

C

`(logx)/(x)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

`f(logx)=loglog(x)`
`implies(d)/(dx){f(logx)}=(1)/(x)*(1)/(logx)`
`=(xlogx)^(-1)`
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