2/3 (x + 1)*(x - 1)
(x + 1)*(x - 1)^(2/3)
Apply the product rule:
; to find :
Differentiate term by term:
Apply the power rule: goes to
The derivative of the constant is zero.
The result is:
; to find :
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Differentiate term by term:
Apply the power rule: goes to
The derivative of the constant is zero.
The result is:
The result of the chain rule is:
The result is:
Now simplify:
The answer is:
2/3 2*(x + 1) (x - 1) + ----------- 3 _______ 3*\/ x - 1
/ 1 + x \ 2*|6 - ------| \ -1 + x/ -------------- 3 ________ 9*\/ -1 + x