DETA

Consider the following function on the given interval.

$f(x)=164x-x^2,[0,5]$

Find the derivative of the function.

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

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

$x=$

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Find the absolute maximum and absolute minimum values of $f$ on the given interval.

absolute minimum value $$

absolute maximum value $$

Need Help? $$

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DETAIL