Find Extreme Points
Find critical points first, then use the second-derivative test or another local test to classify them.
Formula: Critical points satisfy f′(x)=0 or f′ undefined; classify with f″ when applicable
Check the function, variable and any domain or bounds before calculating. Differentiation and integration results depend on the expression and conditions supplied, so an algebraically valid result still needs to match the original problem.
Check the result by differentiating or integrating the displayed expression as appropriate and confirm the required domain or bounds.