The function f (x) = 12x2 − alnx (a ∈ R) is known. If the tangent equation of the image of function f (x) at x = 2 is y = x + B, the values of a and B are obtained

The function f (x) = 12x2 − alnx (a ∈ R) is known. If the tangent equation of the image of function f (x) at x = 2 is y = x + B, the values of a and B are obtained

The tangent equation of F '(x) = x − ax (x > 0) ∵ function f (x) at x = 2 is y = x + B, ∵ 2 − A2 = 12 − aln2 = 2 + B ∵ a = 2, B = - 2ln2