Example 27 - Find maximum and minimum values of f(x) = |x| - Examples

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  1. Chapter 6 Class 12 Application of Derivatives
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Example 27 Find the maximum and minimum values of f , if any, of the function given by f(x) = |x|, x R. = = & , <0 & , 0 First we plot graph of |x| At x = 0 Also f(x) > 0 for all x, x R except 0 Therefore the function has a minimum value 0 at = 0 Hence, = 0 is point of minima of f Also f >0 for all R except 0 As f 1 = 1 =1 f 100 = 100 =100 f 100 = 100 =100 So we cannot find a maximum value Hence, there is no Maximum value of f in R & No point of Maxima value of f in R

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.