Question

Find the derivative of the function using the chain rule. (attached)

Answer 1

\[y=(x+1)^{2}(x ^{2}+1)^{-3}\]

Answer 2

u have to apply the formula y' = uv' + vu'

Answer 3

I know, I'm having problems with the powers though. I haven't been able to find an example with this particular power setup (usually it's all under one power or square root).

Answer 4

derivative of (x^2 + 1)^-3 is by chain rule

2x * -3(x^2 + 1)^-4

Answer 5

could you show the work @cwrw238? I'm having trouble following that (and also use the equation button so it reads cleaner?).