en.wikipedia.org/wiki/Maxima_and_minima

In mathematical analysis, the maxima and minima of a function, known collectively as extrema (the plural of extremum), are the largest ...

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Finding Maxima and Minima using Derivatives ... (See below this example for how we found that derivative.) ... Example: Find the maxima and minima for:.

www.khanacademy.org/math/ap-calculus-ab/analyzing-functions-with-calculus-ab/relative-minima-and-maxima-ab/v/identifying-minima-and-maxima-for-x-3-12x-5

Relative minima & maxima basic example. AboutTranscript. Sal finds the extremum points of f(x)=x³-12x+2. Created by Sal Khan. Google Classroom Facebook ...

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

... or decreasing, relative maxima or minima, or the absolute maximum or minimum value of f ... Example. The function f(x)=3x4−4x3−12x2+3 has first derivative.

www.whitman.edu/mathematics/calculus_online/section14.07.html

Example 14.7.2 Verify that f(x,y)=x2+y2 has a minimum at (0,0). First, we compute all the ... Example 14.7.3 Find all local maxima and minima for f(x,y)=x2−y2.

www.mathcentre.ac.uk/resources/uploaded/mc-ty-maxmin-2009-1.pdf

immediate locality. In many applications, a scientist, engineer, or economist for example, will be ... Using the first derivative to distinguish maxima from minima. 7.

www.whitman.edu/mathematics/calculus_online/section05.01.html

In many applied problems we want to find the largest or smallest value that a function achieves (for example, we might want to find the minimum cost at which ...

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As an example, the area of a rectangular lot, expressed in terms of its length and width, may also be ... Steps in Solving Maxima and Minima Problems.

faculty.atu.edu/mfinan/2243/business41.pdf

is a point f(a) such that f(a) ≤ f(x) for all x in an interval I containing a. Example 4.1.2. Find the local maxima and the local minima of the function given in Figure.

archives.math.utk.edu/visual.calculus/3/max.2

We apply these results to finding maxima and minima of functions having only one ... Example. The maximum and minimum of the function f(x) = x on the closed ...