Plot (x) x (x 2 1) (in a suitably bounded viewing box) Use the plot to determine whether '(x) is positive or negative on its domain x x 1 Then compute '(x) and confirm your conclusion algebraically

Question: Plot (x) = x/(x 2 1) (in a suitably bounded viewing box). Use the plot to determine whether '(x) is positive or negative on

Plot ƒ(x) = x/(x²− 1) (in a suitably bounded viewing box). Use the plot to determine whether ƒ'(x) is positive or negative on its domain {x : x ≠ ± 1}. Then compute ƒ'(x) and confirm your conclusion algebraically.

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