2 -x x*e
/ 2\ d | -x | --\x*e / dx
Apply the quotient rule, which is:
and .
To find :
Apply the power rule: goes to
To find :
Let .
The derivative of is itself.
Then, apply the chain rule. Multiply by :
Apply the power rule: goes to
The result of the chain rule is:
Now plug in to the quotient rule:
Now simplify:
The answer is:
2 / 2\ -x 2*x*\-3 + 2*x /*e
2 / 2 2 / 2\\ -x 2*\-3 + 6*x - 2*x *\-3 + 2*x //*e