Example 8 - Show f(x) = x3 - 3x2 + 4x is strictly increasing - Examples

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  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise
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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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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.