If y =x^ x , then d y d x = ? - Vidyadip

MCQ

If $y =x^{\sqrt{x}}$, then $\frac{ d y}{ d x}=$ ?

✓
$\frac{y}{2 \sqrt{x}}(\log x+2)$
B
$\frac{y}{\sqrt{x}}(\log x+2)$
C
$\frac{y}{2 \sqrt{x}}(\log x-2)$
D
$\frac{y}{\sqrt{x}}(\log x-2)$

✓

Answer

Correct option: A.

$\frac{y}{2 \sqrt{x}}(\log x+2)$

$\frac{y}{2 \sqrt{x}}(\log x+2)$

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