A relative maximum is the highest point on a graph within a specific interval. It is also known as a local maximum since it is only the highest point within that particular interval, not the entire graph.
To find the relative maximum of a function, you must first take the derivative of the function and set it equal to 0. Then, solve for the x-value of the critical point. Finally, plug that x-value into the original function to find the corresponding y-value, which is the relative maximum.
Yes, a function can have multiple relative maximums, depending on the shape of the graph and the number of intervals. Each interval can have its own relative maximum.
A relative maximum is the highest point within a specific interval, while an absolute maximum is the highest point on the entire graph. A relative maximum can also be called a local maximum, while an absolute maximum is also known as a global maximum.
Knowing about relative maximums can be useful in a variety of real-world scenarios, such as optimizing production processes or analyzing stock market trends. It can also help in finding the maximum or minimum value of a function, which can be important in fields such as economics, engineering, and physics.