Example 26 - Find maximum and minimum values of f(x) = x2

Example 26 - Chapter 6 Class 12 Application of Derivatives - Part 2

  1. Chapter 6 Class 12 Application of Derivatives (Term 1)
  2. Serial order wise

Transcript

Example 26 Find the maximum and the minimum values, if any, of the function f given by f (๐‘ฅ) = ๐‘ฅ2 , ๐‘ฅ โˆˆ R f(๐‘ฅ)=๐‘ฅ^2 First we plot the Graph of ๐’™^๐Ÿ At x = 0 f(0)=0 And, we note that f(๐‘ฅ)>0 for all ๐‘ฅ except 0 Thus, Minimum value of f(๐‘ฅ)=๐ŸŽ at ๐’™ = 0 Also, Since f(๐’™)>๐ŸŽ for all ๐‘ฅ except 0 So, we cannot find a maximum value Example: f(100)=(100)^2 = 10000 f(1000)= (1000)^2 = 1000000 Hence , we cannot find maximum value of f(๐‘ฅ) on ๐’™ โˆˆ R

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.