Question

How to find maximum and minimum value?

A) Set the derivative equal to zero and solve for critical points.
B) Maximum and minimum values occur at the endpoints of the domain.
C) Maximum values occur where the function is increasing.
D) Minimum values occur where the function is concave down.

Answer 1

To find the maximum and minimum values of a function, you can use the derivative, endpoints, and the behavior of the function.

Step-by-step explanation:

To find the maximum and minimum values of a function, you can follow these steps:

1. Set the derivative of the function equal to zero and solve for critical points. These points may correspond to maximum or minimum values.
2. Determine if the function has any endpoints within the given domain. The maximum and minimum values can occur at these endpoints.
3. Analyze the behavior of the function to identify where it is increasing or decreasing. The maximum values occur where the function is increasing, and the minimum values occur where the function is decreasing.
4. If the function is a concave down, the minimum values occur where the function is concave down.