2 2 (x - 2) *(x - 4)
(x - 2)^2*(x - 4)^2
Apply the product rule:
; 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:
; 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 2 (x - 4) *(-4 + 2*x) + (x - 2) *(-8 + 2*x)
/ 2 2 \ 2*\(-4 + x) + (-2 + x) + 4*(-4 + x)*(-2 + x)/