$\begin{array}{l} y = {x^2}\sqrt x .{\mathop{\rm s}\nolimits} {\rm{inx}} = {x^{\frac{5}{2}}}.\sin x\\ \Rightarrow y' = \frac{5}{2}.{x^{\frac{3}{2}}}.\sin x + {x^{\frac{5}{2}}}.\cos x\\ = \frac{5}{2}x\sqrt x .\sin x + {x^2}\sqrt x .\cos x \end{array}$
