Ex 6.2,6 - Chapter 6 Class 12 Application of Derivatives - Part 8

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Ex 6.2,6 - Chapter 6 Class 12 Application of Derivatives - Part 9

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Ex 6.2,6 - Chapter 6 Class 12 Application of Derivatives - Part 10

  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: (d) 6 โ€“ 9๐‘ฅ โ€“ ๐‘ฅ2 ๐‘“(๐‘ฅ) = 6 โ€“ 9๐‘ฅ โ€“ ๐‘ฅ2 Calculating fโ€™(๐’™) fโ€™(๐‘ฅ) = โ€“9 โ€“ 2๐‘ฅ fโ€™(๐‘ฅ) = โ€“(2๐‘ฅ+9) Putting fโ€™(๐’™) = 0 โ€“(2๐‘ฅ+9) = 0 2๐‘ฅ + 9 = 0 2๐‘ฅ = โ€“ 9 ๐’™ = (โˆ’๐Ÿ—)/๐Ÿ Plotting point ๐’™ = (โˆ’๐Ÿ—)/๐Ÿ on real line Hence f is strictly Increasing for ๐’™ < (โˆ’๐Ÿ—)/๐Ÿ & strictly Decreasing for ๐’™ > (โˆ’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.