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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 […]

pblpathways.com/calc/C12_1_3.pdf

relative minimum occurs at the critical point cfc,() . If f does not change sign at x c, then there is no relative extrema at the corresponding critical point. Example 6 Find the Relative Extrema of a Function Find the location of the relative extrema of the function fx xxx() 4 21 18 5 32

www.symbolab.com/solver/calculus-function-extreme-points...

Free functions extreme points calculator - find functions extreme and saddle points step-by-step

www.coolmath.com/.../12-relative-extrema-minimums-maximums-01

Another huge thing in Calculus is finding relative extrema. Check out this graph: The tops of the mountains are relative maximums because they are the highest points in their little neighborhoods (relative to the points right around them):. Suppose you're in a roomful of people (like your classroom.)

www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical...

Finding relative extrema (first derivative test) The first derivative test is the process of analyzing functions using their first derivatives in order to find their extremum point. This involves multiple steps, so we need to unpack this process in a way that helps avoiding harmful omissions or mistakes.

www.math.hmc.edu/calculus/tutorials/extrema

The First Derivative: Maxima and Minima Consider the function $$ f(x) = 3x^4-4x^3-12x^2+3 $$ on the interval $[-2,3]$. We cannot find regions of which $f$ is ...

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

This is a good thing of course. We don’t want to be trying to find something that may not exist. Next, we saw in the previous section that absolute extrema can occur at endpoints or at relative extrema. Also, from the previous section that we know that the list of critical points is also a list of all possible relative extrema.

www.mathportal.org/calculators/calculus/derivative...

This is a calculator which computes derivative, minimum and maximum of a function with respect to a variable x. ... It will also find local minimum and maximum ... There are examples of valid and invalid expressions at the bottom of the page. Derivative Calculator Find Local Extrema (explained) Derivative Calculator. Maximum and Minimum ...

www.khanacademy.org/.../v/finding-relative-maximum-example

Sal finds the relative maximum point of g(x)=x⁴-x⁵ by analyzing the intervals where its derivative, g', is negative or positive. Sal finds the relative maximum point of g(x)=x⁴-x⁵ by analyzing the intervals where its derivative, g', is negative or positive.