1 --------- 2 / 2\ \1 - x /
1/((1 - x^2)^2)
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Differentiate term by term:
The derivative of the constant is zero.
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 result of the chain rule is:
The result of the chain rule is:
Now simplify:
The answer is:
4*x ------------------ 2 / 2\ / 2\ \1 - x /*\1 - x /
/ 2 \ | 6*x | 4*|-1 + -------| | 2| \ -1 + x / ---------------- 3 / 2\ \-1 + x /
/ 2 \ | 8*x | 24*x*|3 - -------| | 2| \ -1 + x / ------------------ 4 / 2\ \-1 + x /