Respuesta :

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.

Ver imagen EvraB691170
Ver imagen EvraB691170

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