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consider the function f(x) = x/1-x^2 (a) Find the open intervals on which f is increasing...

consider the function f(x) = x/1-x^2

(a) Find the open intervals on which f is increasing or decreasing. Determine any local minimum and maximum values of the function. Hint: f'(x) = x^2+1/(x^2-1)^2.

(b) Find the open intervals on which the graph of f is concave upward or concave downward. Determine any inflection points. Hint f''(x) = -(2x(x^2+3))/(x^2-1)^3.

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