Example 1
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example 1 Find the rate of change of the area of a circle per second with respect to its radius r when r = 5 cm. We have to find rate of change of area of circle with respect to radius i.e. we need to find ๏ท๐(๐ด๐๐๐ ๐๐ ๐๐๐๐๐๐)๏ทฎ๐ (๐๐๐๐๐ข๐ ๐๐ ๐๐๐๐๐๐)๏ทฏ = ๏ท๐๐ด๏ทฎ๐๐๏ทฏ We know that Area of circle = ฯ r2 A = ฯr2 Finding ๏ท๐๐ด๏ทฎ๐๐๏ทฏ ๏ท๐๐ด๏ทฎ๐๐๏ทฏ = ๏ท๐(๐๐2)๏ทฎ๐๐๏ทฏ = ฯ ๏ท(๐2)๏ทฎ๐๐๏ทฏ = ฯ (2 . r2 โ1) = 2ฯ r For r = 5 cm ๏ท๐๐ด๏ทฎ๐๐๏ทฏ = 2ฯ (5) . ๏ท๐๐2๏ทฎ๐๐๏ทฏ = 10ฯ ๏ท๐๐๐๏ทฎ๐๐๏ทฏ
Examples
Example 1
You are here
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13
Example 14
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20
Example 21
Example 22
Example 23
Example 24
Example 25
Example 26
Example 27
Example 28
Example 29
Example 30
Example 31
Example 32
Example 33
Example 34
Example 35 Important
Example 36
Example 37 Important
Example 38 Important
Example 39
Example 40 Important
Example 41
Example 42
Example 43
Example 44
Example 45
Example 46 Important
Example 47 Important
Example 48
Example 49
Example 50
Example 51
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.