How To Find Absolute Extrema?

Find the domain of the function

Check for critical points in the interior of the domain

Compute the derivative

Set the derivative equal to zero

Solve for critical points

Identify points where the derivative does not exist

Evaluate the function at all critical points

Check endpoints if the domain is closed or has boundary points

Compare all function values

The largest value is the absolute maximum

The smallest value is the absolute minimum

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