Last updated at April 19, 2021 by Teachoo

Transcript

Example 31 (Method 1) Find local minimum value of the function f given by f (๐ฅ) = 3 + |๐ฅ| , ๐ฅ โ R. f (๐ฅ) = 3 + |๐ฅ| Since Value of |๐|โฅ๐ So, Minimum value of |๐ฅ|=0 Now, Minimum value of f (๐ฅ) = 3 + Minimum value of |๐ฅ| = 3 + 0 = 3 Hence minimum value of f (๐ฅ) = 3 Example 31 (Method 2) Find local minimum value of the function f given by f (๐ฅ) = 3 + |๐ฅ|, ๐ฅ โ R. f (๐ฅ) = 3 + |๐ฅ| From graph, f (๐ฅ) is Minimum at ๐ฅ = 0 So, Minimum value of f (๐ฅ) = f (0) = 3

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About the Author

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.