Find the maximum value: formula "= max ()";
Find the minimum value: formula "=min ()".
The maximum value is the maximum value in the known data. In mathematics, the maximum value of a function is often found. General solutions include method of substitution, discriminant method, monotonicity method of function, combination of numbers and shapes and derivation method.
The maximum and minimum values of a set are the largest element and the smallest element in the set respectively, and the maximum and minimum values of a function are collectively called extreme values. ?
In mathematical analysis, in a given range (relative extreme value) or the whole definition domain of a function (global or absolute extreme value), the maximum and minimum values of a function are collectively called extreme values (poles). Pierre de Fermat was one of the first mathematicians to put forward the maximum and minimum values of functions.
Solution of maximum and minimum values;
1, alternative method
Taking some parts as a whole and replacing them with new letters (that is, exchanging elements) can simplify and clarify complex problems.
2. Discriminant solution
Points with discriminant =0 can be maximum points and minimum points.
First, judge whether the equation has roots and how many, B2-4ac;; 0 has two unequal roots.
3. Solution of monotonicity of function
F(x) is generally found by derivative method. The tangent equation of the curve is obtained by calculating the derivative of the function, and the tangent point may be the maximum point and the minimum point.