Find the absolute maximum and minimum, if either exists, for f$($x$)=$ x$?-14$x $+7.$

This tent: $30$ points$)$ possible

This questiont $1$ pointls$)$ possible

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Find the first derivative of f$.$

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

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

O A$.$

The absolute minimum is

at x $=$

$$ B$.$ There is no absolute minimum.

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

at x$=$

$$ A$.$ The absolute maximum is

OB$.$ There is no absolute maximum.