# Math Help - derivative.. problem

1. ## derivative.. problem

I have been trying to do this for days
what is the derivative of (sinxe^x)/(x^2)

Write it as $(sin x)(e^x)(x^{-2})$ 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, $(e^x)'= e^x$, and $(x^{-2})'= -2x^{-3}$
the derivative of $\frac{sin x e^x}{x^2}$ is $cos x e^x x^{-2}+ sin x e^x x^{-2}-2 sin x e^x x^{-3}$