3 2 / 2 \ (x - 1) *\x - 2*x + 3/
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:
Differentiate term by term:
Apply the power rule: goes to
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:
The result is:
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:
3 2 / 2 \ 2 / 2 \ \x - 2*x + 3/ *(-2 + 2*x) + (x - 1) *\x - 2*x + 3/ *(-6 + 6*x)
/ 2 \ / 2 \ |/ 2 \ 2 / 2 2\ 2 / 2 \| 2*\3 + x - 2*x/*\\3 + x - 2*x/ + 3*(-1 + x) *\3 + x - 2*x + 4*(-1 + x) / + 12*(-1 + x) *\3 + x - 2*x//
/ 2 \ | / 2 \ 2 / 2 2\ / 2 \ / 2 2\| 12*(-1 + x)*\3*\3 + x - 2*x/ + 2*(-1 + x) *\9 - 6*x + 2*(-1 + x) + 3*x / + 3*\3 + x - 2*x/*\3 + x - 2*x + 4*(-1 + x) //