# Ex 6.5,4 - Chapter 6 Class 12 Application of Derivatives

Last updated at Dec. 8, 2016 by Teachoo

Last updated at Dec. 8, 2016 by Teachoo

Transcript

Ex 6.5,4 Prove that the following functions do not have maxima or minima: (i) ( ) = Given ( ) = Finding maxima or minima ( ) = Putting f (x) = 0 = 0 This is not possible for any value of x. f (x) does not have a maxima or minima. Ex 6.5,4 Prove that the following functions do not have maxima or minima: (ii) g(x) = log x Given g (x) = log x Finding maxima or minima g (x) = 1 Putting g (x) = 0 1 =0 = 1 0 = This is not defined for x. So, g (x) does not have a maxima or minima. Ex 6.5,4 Prove that the following functions do not have maxima or minima: (iii) = 3 + 2 + +1 Given h (x) = x3 + x2 + x + 1 Finding maxima or minima = 3 2 +2 +1 Putting = 0 3 2 +2 +1=0 Here = 3, b = 2, & c = 1 x = 2 4 4(3)(1) 6 x = 2 4 12 6 x = 2 8 6 x = 2 2 2 6 x = Since root has minus sign, x has no real value h (x) does not have a maxima of minima

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Chapter 6 Class 12 Application of Derivatives

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.