HMMT 二月 2000 · CALC 赛 · 第 4 题
HMMT February 2000 — CALC Round — Problem 4
题目详情
英文原题
- F or what v alue of x (0 < x < ) do es tan x + ot x a hiev e its minim um?
P2
1 xi
解析
英文解析
- Let y = tan x . So, we w an t to nd the minim um of y + , where 0 y 1 . T aking theyderiv ativ e and minimizing, we nd that the minim um o urs at y = 1, so the minim umof the giv en function o urs at ar tan 1 = .
P P4
1 x 1 1 i
0 i