Determine the x-coodinates of all relative maxima (minima)
Let f(x)=4x3+5. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima).
1. f is increasing on the intervals=
2. f is decreasing on the intervals=
3. the relative maxima of f occur at x=
4. the relative minima of f occur at x=
Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none".