Terms Related to Local Maxima and Local Minima

Important terminology related to Local Maxima and Minima are discussed below:

Maximum Value

If any function gives the maximum output value for the input value of x. That value of x is called maximum value. If it is defined within a specific range. Then that point is called Local Maxima.

Absolute Maximum

If any function gives the maximum output value for the input value of x along the entire range of the function. That value of x is called Absolute Maximum.

Minimum Value

If any function gives the minimum output value for the input value of x. That value of x is called minimum value. If it is defined within a specific range. Then that point is called Local Minima.

Absolute Minimum

If any function gives the minimum output value for the input value of x along the entire range of the function. That value of x is called Absolute Minimum.

Point of Inversion

If the value of x within the range of given function does not show the highest and lowest output, is called the Point of Inversion.

Learn More, Absolute Maxima and Minima

Local Maxima and Minima refer to the points of the functions, that define the highest and lowest range of that function. The derivative of the function can be used to calculate the Local Maxima and Local Minima. The Local Maxima and Minima can be found through the use of both the First derivative test and the Second derivative test.

In this article, we will discuss the introduction, definition, and important terminology of Local Maxima and Minima and its meaning. We will also understand the different methods to calculate the Local Maxima and Minima in mathematics and calculus. We will also solve various examples and provide practice questions for a better understanding of the concept of this article.