Here we have the following conditions to identify the local maximum and minimum from the first derivative test.
Let the function f(x) be continuous at a critical point c in the interval I. we define a function f(x) on an open interval I. The first derivative test helps in finding the turning points, where the function output has a maximum value or a minimum value. Let us understand more details, of each of these tests. The first derivative test and the second derivative test are useful to find the local maximum and minimum.
The local maximum and minimum can be identified by taking the derivative of the given function. Methods to Find Local Maximum and Minimum