How To Find Relative Extrema?

Find the domain of the function

Compute the first derivative

Set the first derivative equal to zero

Solve for critical points

Find where the first derivative does not exist

Combine all critical numbers

Use the first derivative test or second derivative test

Identify points where the function changes from increasing to decreasing for relative maxima

Identify points where the function changes from decreasing to increasing for relative minima

Evaluate the function at the critical points

Report the relative extrema as ordered pairs

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