Example 31 - Find local minimum value of f(x) = 3 + |x| - Examples

Example 31 - 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 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| Since Value of |๐’™|โ‰ฅ๐ŸŽ So, Minimum value of |๐‘ฅ|=0 Now, Minimum value of f (๐‘ฅ) = 3 + Minimum value of |๐‘ฅ| = 3 + 0 = 3 Hence minimum value of f (๐‘ฅ) = 3 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

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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.