Question
Let f(x) = 2x^{3}+9. 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 =
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 =
Answers
f' = 6x^2+9
clearly, f' is always positive, so there are no extrema, and no intervals where f is decreasing.
Just think of what you know of the curve y=x^3
clearly, f' is always positive, so there are no extrema, and no intervals where f is decreasing.
Just think of what you know of the curve y=x^3