1, derivative method:
When solving the minimum problem, the derivative method can find the extreme point of the function by calculating the derivative, and then determine the minimum value of the function. This is the most common method to find the minimum value.
2, the complete square formula method:
When doing the complete square formula of the minimum problem and quadratic function problem, we can write the minimum value of the function in the form of complete square, and then determine it by using the nonnegativity of the square.
3. Matching method:
When doing the minimum problem, the quadratic function problem can be written in standard form by matching method, and then the minimum value of the function can be determined by vertex formula.
4. Elimination method:
When doing the minimum problem, the elimination method can transform the multi-variable function problem into a variable function through elimination, and then solve it by the previous method, and the answer to the problem can be obtained.
Introduction and formula of minimum value;
1 and introduction of minimum value:
In mathematical analysis, the minimum value of a function is called extreme value (number of poles) in a given range (relative extreme value) or in the whole definition domain of a function (global or absolute extreme value). Pierre Fermat was one of the first mathematicians to put forward the maximum and minimum values of functions.
The minimum quantity or value that can be achieved in a given situation. Is the smallest value in the known data. The minimum value of a set is the smallest element in the set.
2. Minimum formula:
The formula of the minimum value is: "Keep the decimal number and discard the large number". It means that in a set of numbers, only the smallest number needs to be left, and the rest can be discarded. This formula is also applicable to various occasions. When solving the minimum value of a function, we only need to find the minimum point of the function, and then take the function value corresponding to the minimum point as the minimum value.