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Question

If fx=logelogex, then f'e is equal to


A

e-1

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B

e

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C

1

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D

0

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Solution

The correct option is A

e-1


Explanation for the correct option:

Finding the value of f'e:

Given that,

fx=logelogex

Differentiate the above function with respect to x,

f'x=1logexddxlogex[ddxlogx=1logx]=1logex1x

Now, substitute x=e in the above differentiation. we get

f'e=1logee1e[logaa=1]=e-1

Hence, the correct option is A.


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