只是微分MC一條... (急~)

2011-02-04 3:35 pm
L = L(x) , 如 x > 0, L'(x) = 1/x
如果 f(x) = L(x^-8), f '(x)=?

A. -8/x*L(x)^9
B. -8/x
C. 8L(x)^7/x
D. 8/x
E. 1/x
F. -1/x

如果唔准用積分, 點搵答案?

回答 (1)

2011-02-04 7:15 pm
✔ 最佳答案
f(x) = L(1/x^8)

Let y = 1/x^8

f'(x)

= L'(y)y'

= (x^8)(-8/x^9)

= -8/x

ANSWER: B


收錄日期: 2021-04-26 14:05:58
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110204000051KK00168

檢視 Wayback Machine 備份