7 x x *E
x^7*E^x
Apply the product rule:
; to find :
Apply the power rule: goes to
The derivative of is itself.
The result is:
Now simplify:
The answer is:
7 x 6 x x *e + 7*x *e
5 / 2 \ x x *\42 + x + 14*x/*e
4 / 3 2 \ x x *\210 + x + 21*x + 126*x/*e