Example 19 - Chapter 6 Class 12 Application of Derivatives

Last updated at December 16, 2024 by

Example 19 - Find local minimum value of f(x) = 3 + |x| - Examples - Examples

part 2 - Example 19 - Examples - Serial order wise - Chapter 6 Class 12 Application of Derivatives

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Example 19 (Method 1) Find local minimum value of the function f given by f (š‘„) = 3 + |š‘„| , š‘„ āˆˆ R. f (š‘„) = 3 + |š‘„| Since Value of |š’™|ā‰„šŸŽ So, Minimum value of |š‘„|=0 Now, Minimum value of f (š‘„) = 3 + Minimum value of |š‘„| = 3 + 0 = 3 Hence minimum value of f (š‘„) = 3 Example 19 (Method 2) Find local minimum value of the function f given by f (š‘„) = 3 + |š‘„|, š‘„ āˆˆ R. f (š‘„) = 3 + |š‘„| From graph, f (š‘„) is Minimum at š‘„ = 0 So, Minimum value of f (š‘„) = f (0) = 3

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