How to find the largest value of a function?

In many spheres of life,that it will be necessary to solve something with the help of numbers, for example, in the economy and accounting, you can find out the minimum and maximum of some indicators only by optimizing the given parameters. And this is nothing more than finding the largest and smallest values on a given segment of the function. Now consider how to find the largest value of a function.

We find the greatest value: the instruction

To find out which part of the function is requiredcalculate the value, denote it by dots. This gap can be open (when the function is equal to a segment), closed (when the function is on a segment) and infinite (when the function does not end).
Find the derived function.
Find on the segment of the function a point where the derivative is zero, and all the critical points. Then calculate the values of the function at these points, solve the equation. Find the largest among the values obtained.
Identify the function values at the end points, determine the larger of them
Compare the data with the largest value, choose more from them. It will be the largest value of the function.

How to find the largest integer value of a function? It is required to calculate whether the function is even or odd, and then solve a specific example. If the number is obtained with a fraction, do not take it into account, the result of the largest integer value of the function will be only an integer.