- #1
RaptorsFan
- 12
- 0
Homework Statement
Find dy/dx and d^2y/dx^2
y = x / (x^(2)+1)
Homework Equations
d/dx (f/g) = (g d/dx f - f d/dx g) / g^2
The Attempt at a Solution
Finding d/dx:
d/dx y = (x^(2)+1) d/dx (x) - (x) d/dx (x^(2) + 1) / (x^(2)+1)^2
= (x^2 + 1) - (2x^2) / (x^(2)+1)^2
So that's my first derivative answer.. now on to the second.
d/dx(d/dx y) (x^2 + 1)^2 d/dx [(x^(2)+1)-(2x^2)] / (x^(2)+1)^4
((x^(2)+1)^2)(2x-4x)-[4x(x^(2)+1)-(2x^2)/ (x^(2)+1)^4So, there is bound to be a mistake somewhere.. thank you in advance