Absolute Maxima and Absolute Minima
The absolute maxima and the absolute minima is the highest or the lowest value in the entire domain of the function.
Absolute Maxima
A function f(x) with domain D is said to be absolute maximum at x = a where a ∈ D, if f(x) ≤ f(a) for all x ∈ D. The point a is called the point of absolute maxima of function and f(a) is called as the absolute maximum value. The absolute maxima is also called as the global maxima of a function.
Absolute Minima
A function f(x) with domain D is said to be absolute maximum at x = a where a ∈ D , if f(x) ≥ f(a) for all x ∈ D. The point a is called the point of absolute maxima of function and f(a) is called as the absolute maximum value. The absolute maxima is also called as the global maxima of a function.
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Maxima and Minima in Calculus
Maxima and Minima in Calculus is an important application of derivatives. The Maxima and Minima of a function are the points that give the maximum and minimum values of the function within the given range. Maxima and minima are called the extremum points of a function.
This article explores the concept of maxima and minima. In addition to details about maxima and minima, we will also cover the types of maxima and minima, properties of Maxima and Minima, provide examples of maxima and minima, and discuss applications of Maxima and Minima.
Table of Content
- Maxima and Minima of a Function
- Types of Maxima and Minima
- Relative Maxima and Minima
- Absolute Maxima and Minima
- How to Find Maxima and Minima?
- Applications of Maxima and Minima