y=x^6*e^x
x^6*e^x
x^((6*e)^x)
6 x x *e
d / 6 x\ --\x *e / dx
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:
6 x 5 x x *e + 6*x *e
4 / 2 \ x x *\30 + x + 12*x/*e
3 / 3 2 \ x x *\120 + x + 18*x + 90*x/*e