Absolute or Global minimum
the smallest overall value of a function
Absolute or global minimum refers to the lowest possible value in a given set of data or function. It is a single value that is lower than all other values in the data set or function that it represents. In other words, it is the lowest point on a graph or curve.
An absolute minimum can be defined for any function or data set, but it is not always guaranteed to exist. For example, a continuous and differentiable function on a closed and bounded interval will always have an absolute minimum value, but an unbounded function might not have an absolute minimum.
To find the absolute minimum, one can use calculus by taking the derivative of the function and setting it to zero to find any critical points. Then, you can evaluate the function at each critical point as well as the endpoints of the interval, and compare the values to determine the absolute minimum.
In summary, the absolute or global minimum is the lowest value in a data set or function, and it is usually found through calculus by identifying the critical points and evaluating the function at those points and the endpoints of the interval.
More Answers:
Mastering the First and Second Derivative Test for Finding Relative Minimum in Math FunctionsIdentifying Relative or Local Maximums of Functions: A Guide to Finding Critical Points and Analyzing Function Behavior
Mastering the search for relative extrema: A guide to finding maximum and minimum points within a specified interval