The minimum value of the function y = arccosx + 10 arccosx is______ ．

Let t = arccosx, then y = t + 10t, 0 ＜ t ≤ π. By derivation, y ′ = 1-10t2 = T2 − 10t2 ＜ 0, y is a decreasing function in the domain of 0 ＜ t ≤ π. When t = π, y gets the minimum value of π + 10 π, so the answer is: π + 10 π

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