Question 509709
Is it


*[tex \LARGE x (\sin x)^{\frac{1}{2}}], or


*[tex \LARGE (x \sin x)^{\frac{1}{2}}]


Assuming the first case, we use the product rule.


*[tex \LARGE \frac{d}{dx} (x (\sin x)^{\frac{1}{2}}) = (\sin x)^{\frac{1}{2}} + \frac{1}{2}x (\sin x)^{-\frac{1}{2}}(\cos x)]


and simplify from there.