Please help,
I have been trying to do this for days
what is the derivative of (sinxe^x)/(x^2)
Write it as $\displaystyle (sin x)(e^x)(x^{-2})$ and use the fact that (fgh)'= (fg)'h+ (fg)h'= (f'g+ fg')h+ (fg)h'= f'gh+ fg'h+ fgh'.
(sin x)'= cos x, $\displaystyle (e^x)'= e^x$, and $\displaystyle (x^{-2})'= -2x^{-3}$
the derivative of $\displaystyle \frac{sin x e^x}{x^2}$ is $\displaystyle cos x e^x x^{-2}+ sin x e^x x^{-2}-2 sin x e^x x^{-3}$