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$λ^2=\frac{p(2-2p)}{(p^2+a)}$

$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!

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