Problem 124E

COMPUTER EXPLORATIONS

Find the inflection points (if any) on the graph of the function and the coordinates of the points on the graph where the function has a local maximum or local minimum value. Then graph the function in a region large enough to show all these points simultaneously. Add to your picture the graphs of the functionâ€™s first and second derivatives. How are the values at which these graphs intersect the x-axis related to the graph of the function? In what other ways are the graphs of the derivatives related to the graph of the function?

SOLUTION

Step 1 of 5

Here, we have to find the inflection point of the given function. Then graph the function, its derivative and second derivative in the same plane and explain their relations.