Find all open intervals on which the function is decreasing.
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f(x) = f(prime)(x)=
Originally Posted by Samantha Find all open intervals on which the function f(x) = \frac {x} {x^2 + x - 2} is decreasing. When is this negative? (Hint: The denominator is always positive, since it is squared.) -Dan
So it's always decreasing?
Originally Posted by Samantha So it's always decreasing? It looks like it. -Dan
so it's (-infinity, -2), (-2,1) and (1, infinity)?
Originally Posted by Samantha so it's (-infinity, -2), (-2,1) and (1, infinity)? Yup. (You are more exact than I was going to be. I probably wouldn't have removed the points that are outside the domain, and you were right to do so. I would've lost points on this problem. ) -Dan
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