Ex 6.2,1 - Chapter 6 Class 12 Application of Derivatives

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Ex 6.2,1(Method 1) Show that the function given by f ( ) = 3 + 17 is strictly increasing on R. f( ) = 3 + 17 f ( ) = 3 value of f ( ) is positive for all real number Hence f ( ) = positive for all R f is strictly increasing on R Ex 6.2,1(Method 2) Show that the function given by f (x) = 3x + 17 is strictly increasing on R. Let 1 and 2 be real numbers Such that 1 < 2 Multiplying both sides by 3 3 1 < 3 2 Adding both sides by 3 3 1 + 17 < 3 2 + 17 f ( 1) < f ( 2) Hence if 1 < 2 Then f ( 1) < f ( 2) Hence f is strictly increasing on R