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

Maximums and Minimums: Finding Relative Extrema. 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):

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 […]

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.

pblpathways.com/calc/C12_1_3.pdf

Question 3: How do you find the relative extrema of a function? The strategy for tracking the sign of the derivative is useful for more than determining where a function is increasing or decreasing. It is also useful for locating the relative extrema of a function. At a relative extrema, a function changes from increasing to

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.youtube.com/watch?v=V239IIoGVT8

This calculus video tutorial explains how to find the relative extrema of a function such as the local maximum and minimum values using the first derivative test. It contains plenty of examples ...

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. ...

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 ...

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

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