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 6.2,4 Find the intervals in which the function f given by f (๐‘ฅ) = 2๐‘ฅ2 โ€“ 3๐‘ฅ is (a) strictly increasing (b) strictly decreasing Ex 6.2,4 Find the intervals in which the function f given by f (๐‘ฅ) = 2๐‘ฅ2 โ€“ 3๐‘ฅ is (a) strictly increasing (b) strictly decreasing f (๐‘ฅ) = 2๐‘ฅ2 โ€“3๐‘ฅ Calculating fโ€™(๐’™) ๐‘“^โ€ฒ (๐‘ฅ) = 4๐‘ฅ โ€“ 3 Putting fโ€™ (๐’™) = 0 4๐‘ฅ โ€“ 3 = 0 4๐‘ฅ = 3 ๐‘ฅ = 3/4 Drawing point on number line Point ๐‘ฅ = 3/4 divide the real line into 2 disjoint intervals i.e. ("โ€“" โˆž" , " 3/4) & (3/4 " ," โˆž) Hence (๐‘Ž) f is strictly increasing in (๐Ÿ‘/๐Ÿ’ , โˆž) (๐‘) f is strictly decreasing in (โˆ’โˆž ,๐Ÿ‘/๐Ÿ’)

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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.