# How do you calculate minimum and maximum?

## How do you calculate minimum and maximum?

The largest value in a data set is often called the maximum (or max for short), and the smallest value is called the minimum (or min). The difference between the maximum and minimum value is sometimes called the range and is calculated by subtracting the smallest value from the largest value.

### How do you find the lowest value of a function?

You can find this minimum value by graphing the function or by using one of the two equations. If you have the equation in the form of y = ax^2 + bx + c, then you can find the minimum value using the equation min = c – b^2/4a.

What is a MIN function in math?

min() function is an inbuilt function in java that returns the minimum of two numbers. If a negative and a positive number is passed as an argument then the negative result is generated. And if both parameters passed are negative then the number with the higher magnitude is generated as result.

What is a local maximum of a function?

A local maximum point on a function is a point (x,y) on the graph of the function whose y coordinate is larger than all other y coordinates on the graph at points “close to” (x,y).

## How do you know if a function has a maximum or minimum?

Determine whether the function will have a minimum or a maximum depending on the coefficient of the x^2 term. If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum.

### How do you find the maximum and minimum?

HOW TO FIND MAXIMUM AND MINIMUM VALUE OF A FUNCTION

1. Differentiate the given function.
2. let f'(x) = 0 and find critical numbers.
3. Then find the second derivative f”(x).
4. Apply those critical numbers in the second derivative.
5. The function f (x) is maximum when f”(x) < 0.
6. The function f (x) is minimum when f”(x) > 0.

How do you find the maximum and minimum of a function?

What is the minimum value of f x?

We say that a function f(x) has a relative minimum value at x = b, if f(b) is less than any value immediately preceding or follwing.