Example 8 - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example 8 Show that the function f given by f ( ) = 3 3 2 + 4 , R is strictly increasing on R. f( ) = 3 3 2 + 4 f ( ) = 3 2 3.2 + 4 f ( ) = 3x2 6 + 4 f ( ) = 3x2 6 + 3 + 1 f ( ) = 3 ( 2 2 + 1) + 1 f ( ) = 3 ( 1)2 + 1 As square is a positive number, The value of f ( ) will be always positive for every real number Hence f ( ) > 0 for all R f( ) is strictly increasing
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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.