3. Consider f(x), f'(x), and f"(x) below: f (x) 1+ x² 1- a2 (1+ a²)² 2x(x² – 3) (1+ æ²)3 f' (x) f" (x) (a) Find all transition points: critical points of either ƒ or f'. (b) Determine the sign of f' and f" on intervals between transition points. nestigrtion CourseH (c) Sketch the graph of ƒ(x) and label local maxima/minima, points of inflection, and any asymptotes. ared

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