Find the open intervals on which f is increasing (Decreasing). The determine the x-coordinates of all relative maxima (minima).

Question

Let f(x)= 2-(2/x)+(6/x^2). Find the open intervals on which f is increasing (Decreasing). The determine the x-coordinates of all relative maxima (minima).

1. f is increasing on these intervals=

2. f is decreasing on these intervals=

3. the relative maxima of f occurs at x=

4. the relative minima of f occurs at x=?

**please provide final answers! 

Answer 1

f(x) = 2-(2/x)+(6/x^2)

1. f is increasing on these intervals=[-inf,-1] [7,inf]
2. f is decreasing on these intervals=[1,7]
3. the relative maxima of f occurs at x= -1
4. the relative minima of f occurs at x= 6