We are given a graph of the derivative of a function as a function of the "x" position.
A function has a maximum or a minimum when the derivative is zero. This means that in a graph of the derivative with respect to "x" a maximum or a mnimum is located where the graph of the derivative intercepts the x-axis.
If the derivative goes from positive to negative, as follows:
Then the function has a maximum at the point "x" where the graph of the derivative intercepts.
If the function goes from negative to positive, like this:
Then the function has a minimum at the point "x".
In the given graph, the function does not intercept the x-axis, Therefore, the function has no maximum or minimum points. The answer is DNE for both parts.
