If f ( x ) = log x 2 ( log x ) , then f ' ( e ) is equal to __________

Question

Aicharya · Accepted Answer

f ( x ) = log x 2 ( log x ) &#8658; f ( x ) = ln ( ln x ) ln x 2 &#8658; f ' ( x ) = ln x 2 1 x ln x - ln ( ln x ) 2 x ( 2 ln x ) 2 &#8658; f ' ( e ) = 2 e 4 = 1 2 e

If f ( x ) = log x 2 ( log x ) , then f &#39; ( e ) is equal to __________

Solution

If f ( x ) = log x 2 ( log x ) , then f ' ( e ) is equal to __________