Find the local extreme, the open intervals on which the function is increasing,

Question

Find the local extreme, the open intervals on which the function is increasing, and the open intervals on which the function is decreasing. f(x) = x1/3(x + l) Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A local maximum occurs at (Type an ordered pair. Round to the nearest thousandth as needed.) There is no local maximum. Find the local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A local minimum occurs at (Type an ordered pair. Round to the nearest thousandth as needed.) There is no local minimum. The function is increasing on the open interval(s) (Type your answer in interval notation. Round to the nearest thousandth as needed. Use a comma to separate answers as needed.) The function is decreasing on the open interval(s) (Type your answer in interval notation. Round to the nearest thousandth as needed. Use a comma to separate answers as needed.)

Explanation / Answer

a)(-0.25,-0.012)

b) there is no local minima

c)(-0.25,infinity)

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