Ex 6.2, 4 - Find intervals f(x) = 2x2 - 3x is (a) increasing

Ex 6.2,4 - Chapter 6 Class 12 Application of Derivatives - Part 2

  1. Chapter 6 Class 12 Application of Derivatives (Term 1)
  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 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 Plotting point on number line Hence, f is strictly increasing in (๐Ÿ‘/๐Ÿ’ , โˆž) 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 10 years. He provides courses for Maths and Science at Teachoo.