x^3*e^(-x)
3 -x x *e
d / 3 -x\ --\x *e / dx
Apply the quotient rule, which is:
and .
To find :
Apply the power rule: goes to
To find :
The derivative of is itself.
Now plug in to the quotient rule:
Now simplify:
The answer is:
/ 3 2\ -x \6 - x - 18*x + 9*x /*e