3 ___ ___ x*\/ x *\/ x
/ 3 \ d | ___ ___| --\x*\/ x *\/ x / dx
Apply the product rule:
; to find :
Apply the power rule: goes to
; to find :
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Apply the power rule: goes to
The result of the chain rule is:
; to find :
Apply the power rule: goes to
The result is:
Now simplify:
The answer is:
2 ___ 3/2 3*x 3*\/ x *x ---- + ------------ 2 2