1.

If \[y={{x}^{\sqrt{x}}},\]then \[\frac{dy}{dx}\]=

A.            \[{{x}^{\sqrt{x}}}\frac{2+\log x}{2\sqrt{x}}\]
B.            \[{{x}^{\sqrt{x}}}\frac{2+\log x}{\sqrt{x}}\]
C.            \[\frac{2+\log x}{2\sqrt{x}}\]
D.            None of these
Answer» B.            \[{{x}^{\sqrt{x}}}\frac{2+\log x}{\sqrt{x}}\]


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