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HMMT 二月 2000 · CALC 赛 · 第 1 题

HMMT February 2000 — CALC Round — Problem 1

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. Find the slop e of the tangen t at the p oin t of in e tion of y = x 3 x + 6 x + 2000.
解析
  1. y = x 3 x + 6 x + 2000, so y = 3 x 6 x + 6 and y = 6 x 6, so the p oin t of in e tion 2 0 is the solution to 6 x 6 = 0, or x = 1. A t x = 1, the slop e is f j = 3(1) 6(1) + 6 = x =1 3 . 3