Example 7 - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Example 7 (Method 1) Show that the function given by f (đĽ) = 7đĽ â 3 is strictly increasing on R.f(đĽ) = 7đĽ â 3 Finding fâ(đ) fâ(x) = (7x â 3)â fâ(x) = 7 Since fâ(đ) > 0 Hence, f is strictly increasing on R Example 7 (Method 2 ) Show that the function given by f (x) = 7x â 3 is strictly increasing on R. Let đĽ1 and đĽ2 be real numbers Such that đđ < đ2 Multiplying both sides by 7 7đĽ1 < 7đĽ2 Subtracting both sides by 3 7đĽ1 â 3 < 7đĽ2 â 3 f (đđ) < f ( đ2) Hence, when x1 < x2 , f(x1) < f(x2) Thus, f(x) is strictly increasing on R.
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo