Ex 6.2, 6 - Find intervals in which functions strictly increasing

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Ex 6.2,6 - Chapter 6 Class 12 Application of Derivatives - Part 2

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

Transcript

Ex 6.2, 6 Find the intervals in which the following functions are strictly increasing or decreasing: (a) ๐‘ฅ2 + 2๐‘ฅ โ€“ 5 f(๐‘ฅ) = ๐‘ฅ2 + 2๐‘ฅ โ€“ 5 Calculating fโ€™ (๐’™) fโ€™(๐‘ฅ) = 2๐‘ฅ + 2 fโ€™(๐‘ฅ) = 2 (๐‘ฅ + 1) Putting fโ€™ (๐’™) = 0 2 (๐‘ฅ + 1) = 0 (๐‘ฅ + 1) = 0 ๐’™ = โ€“1 Plotting point on real line Hence, f is strictly decreasing for (โˆ’โˆž ," โ€“1" ) f is strictly increasing for ( "โ€“1" ,โˆž)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.