If y= x+x^ x , then ^ d y^ / " d x^ is - Vidyadip

MCQ

If $y=\sec x+x^{\log x}$, then ${ }^{\prime \prime} d y^{\prime \prime} / " d x^{\prime \prime \prime}$ is

A
$`sec^2 x + 2/x log x`$
✓
$sec x tan x + `2/x` log x · (x^{\log x})$
C
$sec x tan x + `1/x` log x$
D
$`sec^2 x + x/2 log x`$

✓

Answer

Correct option: B.

$sec x tan x + `2/x` log x · (x^{\log x})$

B

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