Đạo hàm của hàm số

\[\begin{array}{*{20}{l}}{y = \frac{1}{{x\sqrt x }} = \frac{1}{{x.{x^{\frac{1}{2}}}}} = \frac{1}{{{x^{1 + \frac{1}{2}}}}} = \frac{1}{{{x^{\frac{3}{2}}}}} = {x^{ - \frac{3}{2}}}}\\{ \Rightarrow y' = - \frac{3}{2}{x^{ - \frac{3}{2} - 1}} = - \frac{3}{2}{x^{ - \frac{5}{2}}} = - \frac{3}{2}\frac{1}{{{x^{\frac{5}{2}}}}} = - \frac{3}{2}\frac{1}{{{x^2}\sqrt x }}}\end{array}\]