We saw it on the graph, it was a Maximum! But otherwise: derivatives come to the rescue again. Take the derivative of the slope (the second derivative of the original function):

In calculus, we can find the maximum and minimum value of any function without even looking at the graph of the function. Maxima will be the highest point on the curve within the given range …

Click on the points that appear to be maximum or minimum values and Desmos will tell you the coordinates of the point. Notice that the polynomial doesn't actually have a maximum or …

A function may have both an absolute maximum and an absolute minimum, have just one absolute extremum, or have no absolute maximum or absolute minimum. If a function has a …

To locate absolute maxima and minima from a graph, we need to observe the graph to determine where the graph attains it highest and lowest points on the domain of the function.

5 days ago · Example 3 4 6 Use the graph of y = f (x) below to find the absolute minimum and maximum values (if any). Figure 3 4 5. A function to find absolute maximum and minimum values

Learn to define the maximum and minimum values of a graph. Know how to find local and absolute maximum and minimum values on a graph with examples.

Now, what characterizes the graph at an extreme value? The tangent to the curve is horizontal. We see this at the points A and B. The slope of each tangent line -- the derivative when …

Nov 27, 2025 · Maxima and Minima refer to the highest and lowest points of a function's graph, respectively, within a given domain. These points are also called turning points since the slope …

These two graphs illustrate why a function over a bounded interval may fail to have an absolute maximum and/or absolute minimum. Before looking at how to find absolute extrema, let’s …