Question: How do you find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing and the local extrema. F(x) =

How do you find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing and the local extrema. F(x) = -2x^3 + 3x^2 + 120x I think the f'(x) is -6x^2 + 6x + 120 but I don't know where to go from here for this equation or if we even need it

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