# Example 27 - Chapter 6 Class 12 Application of Derivatives

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

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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Example 27 You are here

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Chapter 6 Class 12 Application of Derivatives

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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 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.