The graph of a derivative f '(x) is shown in the figure below. This is not the graph of f(x).
http://www.webassign.net/hgmcalc/5-4-1fig.gif
Fill in the table of values for f(x) given that f(0) = 2.
x 0 1 2 3 4 5 6
f(x) 2 ? ? ? ? ? ?
using f'(x) to find f(x)
2010-04-22 10:38 am
回答 (1)
2010-04-22 10:14 pm
✔ 最佳答案
首先我們要先知道f(x)與f'(x)的關係f(x)=∫f'(x)dx ＋f(0)
而∫f'(x)dx 就是f'(x)到x的area(正負也要考慮）
所以
f(0)=2
f(1)=2+(-1/2)=1.5
f(2)=f(1)+(-1)=0.5
f(3)=f(2)+(-1)=-0.5
f(4)=f(3)+(-0.5)=-1
f(5)=f(4)+(0.5)=-0.5
f(6)=f(5)+1=0.5
希望幫到你！
2010-04-22 14:16:08 補充：
而∫f'(x)dx 就是curvef'(x)與x-axis所構成的area(正負也要考慮）
收錄日期: 2021-04-11 17:21:28
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100422000051KK00120