Example 15 - Chapter 6 Class 12 Application of Derivatives

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Find maximum and minimum values of Modulus |x| - Example 15 - Teachoo - Examples

part 2 - Example 15 - Examples - Serial order wise - Chapter 6 Class 12 Application of Derivatives

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Example 15 Find the maximum and minimum values of f , if any, of the function given by f(x) = |x|, x āˆˆ R. š‘“(š‘„)=|š‘„|={ā–ˆ(āˆ’&š‘„, š‘„<0@&š‘„, š‘„ā‰„0)ā”¤ At x = 0 f(0)=0 And, we note that f(š‘„)>0 for all š‘„ except 0 Thus, Minimum value of f(š‘„)=šŸŽ at š’™ = 0 Also, Since f(š’™)>šŸŽ for all š‘„ except 0 So, we cannot find a maximum value Example: f(100)=|100|=100 f(1000)= |1000|=1000 Hence , we cannot find maximum value of f(š‘„) on š’™ āˆˆ R

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