Apply the product rule:
; to find :
Apply the power rule: goes to
; to find :
Let .
The derivative of is itself.
Then, apply the chain rule. Multiply by :
The derivative of a constant times a function is the constant times the derivative of the function.
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
So, the result is:
The result of the chain rule is:
The result is:
Now simplify:
The answer is:
2 2 -x -x ---- ---- 2 2 2 - x *e + e
2 -x ---- / 2\ 2 x*\-3 + x /*e