If y = x^ ln , x , then dy/dx equals :- - Vidyadip

MCQ

If $y = x^{ln\, x}$, then $dy/dx$ equals :-

A
$ln\, x . x^{ln\, x-1}$
✓
$x^{ln \,x-1} . 2ln\, x$
C
$x\, ln\, (ln\, x)$
D
$1/(x\, ln\, x) . x^{ln\, x-1}$

✓

Answer

Correct option: B.

$x^{ln \,x-1} . 2ln\, x$

b

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