Check Full Chapter Explained - Continuity and Differentiability - Application of Derivatives (AOD) Class 12

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

Transcript

Ex 6.2, 1 (Method 1) Show that the function given by f (๐‘ฅ) = 3๐‘ฅ + 17 is strictly increasing on R. f(๐‘ฅ) = 3๐‘ฅ + 17 fโ€™(๐‘ฅ) = 3 Since fโ€™ (๐‘ฅ) > 0 Hence, 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 ๐‘ฅ1 and ๐‘ฅ2 be real numbers Such that ๐‘ฅ1 < ๐‘ฅ2 Multiplying both sides by 3 3๐‘ฅ1 < 3 ๐‘ฅ2 Adding both sides by 17 3๐‘ฅ1 + 17 < 3๐‘ฅ2 + 17 f (๐‘ฅ1) < f ( ๐‘ฅ2) Hence when x1 < x2 , f (x1) < f (x2) Thus, f(x) is strictly increasing on R.

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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.