Find the relative extreme of the function f(x)= \frac{x+1}{x^2+2x+2} and where they occur. Select one:

a.
The maximum is \frac{-1}{2} at x=0 and the minimum is \frac{1}{2} at x=-2

b.
The maximum is \frac{1}{2} at x=0 and the minimum is 0 at x=-2

c.
The maximum is 2 at x=0 and the minimum is \frac{1}{2} at x=-2

d.
The maximum is \frac{1}{2} at x=0 and the minimum is \frac{-1}{2} at x=-2

e.
The maximum is \frac{-1}{2} at x=0 and the minimum is 2 at x=-2