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HMMT 二月 2000 · CALC 赛 · 第 4 题

HMMT February 2000 — CALC Round — Problem 4

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. F or what v alue of x (0 < x < ) do es tan x + ot x a hiev e its minim um? 2 P i 1 x
解析
  1. Let y = tan x . So, w e w an t to nd the minim um of y + , where 0 y 1 . T aking the y deriv ativ e and minimizing, w e nd that the minim um o urs at y = 1, so the minim um of the giv en fun tion o urs at ar tan 1 = . 4 P P i 1 x 1 1 0 i