# What is the derivative of #(xe^-x)/(x^3+x)#?

##### 1 Answer

Jun 6, 2015

Let's use product rule, here, shall we?

We'll also need product rule to find the first term's derivative and chain rule for the second one's.

Rules:

- Product rule: be
#y=f(x)g(x)# , then#y'=f'(x)g(x)+f(x)g'(x)# - Chain rule:
#(dy)/(dx)=(dy)/(du)(du)/(dx)#

#(dy)/(dx)=e^-x(-x^4-x^2-2x^3)