What Is Extrema in Calculus?

extremum, plural Extrema, in calculus, any point at which the value of a function is largest (a maximum) or smallest (a minimum). There are both absolute and relative (or local) maxima and minima.

What does find Extrema mean?

more ... The smallest and largest values: • The plural of Minimum is Minima. • The plural of Maximum is Maxima. • Together they are called Extrema.

How do you know if a function is Extrema?

Finding Absolute Extrema of f(x) on [a,b]
  1. Verify that the function is continuous on the interval [a,b] .
  2. Find all critical points of f(x) that are in the interval [a,b] . ...
  3. Evaluate the function at the critical points found in step 1 and the end points.
  4. Identify the absolute extrema.
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Sarah Jenkins

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