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Consider the function $$f : (-\infty, \infty) \rightarrow (-\infty, \infty)$$ defined by $$f(x) = \frac{x^2 - ax + 1}{x^2 + ax + 1}, 0 < a < 2$$.
Which of the following is true?
$$(2 + a)^2f''(1) + (2 - a)^2f''(-1) = 0$$
$$(2 - a)^2f''(1) - (2 + a)^2f''(-1) = 0$$
$$f'(a)f''(-1) = (2 - a)^2$$
$$f'(a)f''(-1) = -(2 + a)^2$$
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