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f(x) =log x (log x) ,then f'(x) at x =ei...

`f(x) =log _x (log x) ,then f'(x) at x =eis `

A

` (1)/(e) `

B

1

C

e

D

`-e`

Text Solution

AI Generated Solution

The correct Answer is:
To find \( f'(x) \) for the function \( f(x) = \log_x(\log x) \) and then evaluate it at \( x = e \), we will follow these steps: ### Step 1: Rewrite the function using the change of base formula Using the change of base formula for logarithms, we can rewrite \( f(x) \): \[ f(x) = \log_x(\log x) = \frac{\log(\log x)}{\log x} \]
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