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www.dummies.com/education/math/calculus/how-to-find-local...

All local maximums and minimums on a function’s graph — called local extrema — occur at critical points of the function (where the derivative is zero or undefined). (Don’t forget, though, that not all critical points are necessarily local extrema.) The first step in finding a function’s local extrema is to find its critical numbers […]

tutorial.math.lamar.edu/classes/calcI/absextrema.aspx

Now we just need to recall that the absolute extrema are nothing more than the largest and smallest values that a function will take so all that we really need to do is get a list of possible absolute extrema, plug these points into our function and then identify the largest and smallest values. Here is the procedure for finding absolute extrema.

mathinsight.org/local_extrema_introduction_two_variables

A local maximum of a function of two variables. The red point is a local maximum of a function of two variables. More information about applet. There is a third possibility that couldn't happen in the one-variable case.

www.dummies.com/education/math/calculus/how-to-find-local...

How to Find Local Extrema with the Second Derivative Test. The Second Derivative Test is based on two prize-winning ideas: First, that at the crest of a hill, a road has a hump shape — in other words, it’s curving down or concave down. And second, at the bottom of a valley, a road is cup-shaped, so it’s curving up or concave up. ...

Another example of finding local mins and maxes with the first derivative test. ... Local (Relative) Extrema and First Derivative Test - Example 2 ... How to Use it and Example 1 of Finding Local ...

Once you find a critical point, how can you tell if it is a minimum, maximum or neither? ... Finding Local Maximum and Minimum Values of a Function ... Extrema Intro: Extrema on an Interval, ...

www.cliffsnotes.com/study-guides/calculus/calculus/...

Another drawback to the Second Derivative Test is that for some functions, the second derivative is difficult or tedious to find. As with the previous situations, revert back to the First Derivative Test to determine any local extrema. Example 1: Find any local extrema of f(x) = x 4 − 8 x 2 using the Second Derivative Test.