Consider the following function.

$h(p)=\frac{p-1}{p^2+7}$

Find the derivative of the function.

$h^{\text{'}}(p)=$

$$

Find the values of $p$ such that $h^{\text{'}}(p)=0.($Enter your answers as a comma$-$separated list. If an answer does not exist, enter DNE.$)$

$p=$

$$

Find the values of $x$ in the domain of $h$ such that $h^{\text{'}}(p)$ does not exist. $($Enter your answers as a comma$-$separated list. If an answer does not exist, enter DNE.$)$

$p=$

$$

Find the critical numbers of the function. $($Enter your answers as a comma$-$separated list. If an answer does not exist, enter DNE.$)$

$p=$

$$