Consider the following function and closed interval.

$f(x)=\sqrt[\phantom{2}]{x+4}{e}^{\frac{x^2}{14}},[-2,2]$

Find $f^{\text{'}}(x).$

$f^{\text{'}}(x)=$

Find the critical number $offin(-2,2)$ and evaluate $fat$ this critical number. $(Round$ your answers $to$ three decimal places.$)$

$(x,y)=(,)$

Evaluate $fat$ each endpoint $of-2,2.(Round$ your answers $to$ three decimal places.$)$

left endpoint $,(x,y)=(,)$

right endpoint $,(x,y)=(,)$

Find the $absolute$ extrema $of$ the function $on$ the closed interval $-2,2.(Round$ your answers $to$ three decimal places.$)$

minimum $,(x,y)=(,)$

maximum $,(x,y)=(,)$