Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = x^3 + 9x Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function is increasing on the open interval(s) and decreasing on the open interval(s). (Simplify your answers. Type your answers in interval notation. Use a comma to separate answers as needed.) B. The function is increasing on the open interval(s). The function is never decreasing. (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) C. The function is decreasing on the open interval(s). The function is never increasing. (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) D. The function is never increasing nor decreasing.
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i'(x) = 3x^2 - 1 Now, we need to find the critical points where the derivative is equal to 0 or undefined. In this case, the derivative is a polynomial, so it's never undefined. We need to solve the equation: 3x^2 - 1 = 0 x^2 = 1/3 x = ±1/√3 Now, we need to Show more…
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