Slide50.JPG

Slide51.JPG

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

Transcript

Example 31 (Method 1) Find local minimum value of the function f given by f (๐‘ฅ) = 3 + |๐‘ฅ| , ๐‘ฅ โˆˆ R. f (๐‘ฅ) = 3 + |๐‘ฅ| ๐‘ฅ โˆˆ R Since Value of |๐‘ฅ|โ‰ฅ0 So, Minimum value of |๐‘ฅ|=0 โ‡’ Minimum value of f (๐‘ฅ) = 3 + Minimum value of |๐‘ฅ| = 3 + 0 = 3 Hence minimum value of f (๐‘ฅ) = 3 We cannot find any maximum value. Example 31 (Method 2) Find local minimum value of the function f given by f (๐‘ฅ) = 3 + |๐‘ฅ|, ๐‘ฅ โˆˆ R. f (๐‘ฅ) = 3 + |๐‘ฅ| From graph, f (๐‘ฅ) is Minimum at ๐‘ฅ = 0 So, Minimum value of f (๐‘ฅ) = f (0) = 3

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.