Table of Contents

## How do you find the maximum area of a rectangle?

A rectangle will have the maximum possible area for a given perimeter when all the sides are the same length. Since every rectangle has four sides, if you know the perimeter, divide it by four to find the length of each side. Then find the area by multiplying the length times the width.

## How do you find the minimum value of an area?

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. If you have the equation y = a(x – h)^2 + k and the a term is positive, then the minimum value will be the value of k.

**How do you find maximum and minimum values?**

HOW TO FIND MAXIMUM AND MINIMUM VALUE OF A FUNCTION

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

### How do you find the minimum possible area?

To find the minimum possible area, subtract the greatest possible error from each measurement, then multiply. The minimum possible area is 22.75 square miles. The maximum possible area is 33.75 square miles. The rectangle below is labeled with its measured dimensions.

### Can a graph have maximums but not minimums?

So, some graphs can have minimums but not maximums. Likewise, a graph could have maximums but not minimums. Here is the graph for this function. This function has an absolute maximum of eight at x = 2 x = 2 and an absolute minimum of negative eight at x = − 2 x = − 2.

**How to differentiate between minimum and maximum values?**

In particular, we want to differentiate between two types of minimum or maximum values. The following definition gives the types of minimums and/or maximums values that we’ll be looking at. We say that f (x) f ( x) has an absolute (or global) maximum at x = c x = c if f (x) ≤ f (c) f ( x) ≤ f ( c) for every x x in the domain we are working on.

## When does a function have an absolute minimum?

This function is not continuous at x = 0 x = 0 as we move in towards zero the function is approaching infinity. So, the function does not have an absolute maximum. Note that it does have an absolute minimum however. In fact the absolute minimum occurs twice at both x =−1 x = − 1 and x =1 x = 1.