What is the second derivative of #f(x)=x/(x^2 + 1) ^2#?
1 Answer
Dec 26, 2015
Explanation:
Use the quotient rule: for a function
Thus,
Simplify.
To find the second derivative, use the quotient rule again.
Thus,
Simplify.
The main two pitfalls here are
- algebra
- remembering to use the chain rule when differentiating things like
# (x^2+1)^2#