$λ^2=\frac{p(2-2p)}{(p^2+a)}$
$p=\frac{(2λ-2+λb)}{(2λ+4)(λ-1)} $
Where $a$ and $b$ are positive parameters. How can I find $∂p/∂a$ and $∂λ/∂a$ ?
A little background: this two equations are obtained from the first order conditions of a maximization problem. Thanks!