# Example 26 - Chapter 6 Class 12 Application of Derivatives

Last updated at Dec. 8, 2016 by Teachoo

Last updated at Dec. 8, 2016 by Teachoo

Transcript

Example 26 Find the maximum and the minimum values, if any, of the function f given by f (𝑥) = 𝑥2 , 𝑥 ∈ R f𝑥=𝑥2 First we plot the graph of 𝑥2 Note that at 𝑥 = 0 f0=0 Also we note that f𝑥>0 for all 𝑥 , 𝑥 ∈ R except 0 So minimum value of f𝒙=𝟎 at 𝒙 = 0 Since f𝑥>0 for 𝑥 ∈ R expect 0 So, we can not find a maximum value e.g. f100=1002= 10000 f1000= 10002= 1000000 Hence , we cannot find a maximum value of f𝒙 on , 𝒙 ∈ R

Example 1

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 You are here

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

Chapter 6 Class 12 Application of Derivatives

Serial order wise

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.