# If y=3sqrtx+1/(sqrtx), find the differential dy.

If $y=3\sqrt{x}+\frac{1}{\sqrt{x}}$, find the differential dy.
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$y=3\sqrt{x}+\frac{1}{\sqrt{x}}$
$=3{x}^{\frac{1}{2}}+{x}^{-\frac{1}{2}}$
$dy=\left(3.\left(\frac{1}{2}\right){x}^{\frac{1}{2}-1}-\frac{1}{2}{x}^{-\frac{1}{2}-1}\right)dx$
$dy=\left(\frac{3}{2}{x}^{-\frac{1}{2}}-\frac{1}{2}{x}^{-\frac{3}{2}}\right)dx$