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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

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

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo