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If the maximum value of a, for which the function f_a(x)=\tan^-1(2x)-3ax+7 is non-decreasing in \left(-\tfracπ6,\,\tfracπ6\right), is \bar a, then f_\bar a\!\left(\tfracπ8\right) is equal to : | Watch the step-by-step video solution for this NIMCET PYQ.