Let , , and be arbitrary real numbers with , and let be the function given by the rule .

Which of the following statements are true about ? Select all that apply.

Next we use some calculus to develop familiar ideas from a different perspective. To start, treat , , and as constants and compute .

Find a critical value of . (This will depend on at least one of , , and .)
Critical value =

Assume that . Make a derivative sign chart for . Based on this information, classify the critical value of as a maximum or minimum.

You can earn partial credit on this problem.