Select the correct answer. what are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]? a. maximum point: (–2.4, 37.014) and minimum point: (2.4, –37.014) b. maximum point: (2.4, –37.014) and minimum point: (–2.4, 37.014) c. maximum point: (–1.4, 33.014) and minimum point: (1.4, –33.014) d. maximum point: (–3, 30) and minimum point: (3, –30)

Take the first derivative to find critical points:

or approximately (from least to greatest) -2.4, -0.56, 0.56, 2.4.

We have second derivative

and at each of the critical points, we have

The signs of the second derivative at each point indicates a local minima at and , and local maxima at and . At these extrema, we have

and at the endpoints of the interval, we have

So the answer is A.

answer: b.48 for

step-by-step explanation: