Let y = (xx) \(\sqrt{\text x}\)
Taking log both the sides:
{Using product rule, \(\cfrac{d(uv)}{d\text x}=u\cfrac{dv}{d\text x}+v\cfrac{du}{d\text x}\)}
{\(\cfrac{d(log\,u)}{d\text x}=\cfrac{1}{u}\cfrac{du}{d\text x}\); Using chain rule,\(\cfrac{d(u+a)}{d\text x}=\cfrac{du}{d\text x}\) where a is any constant and u is any variable}