Let a,x∈IR a≠0.
Calculate the derivative of
f(x) = 1/(4a ^ 3 * sqrt(2)) * ln((x ^ 2 + ax * sqrt(2) + a ^ 2)/(x ^ 2 - ax * sqrt(2) + a ^ 2)) + 1/(2a ^ 3 * sqrt(2)) * arctan((ax * sqrt(2)/(a ^ 2 - x ^ 2)).
simplify as far as possible.
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