Example 29 - Chapter 5 Class 12 Continuity and Differentiability - Part 3

Advertisement

  1. Chapter 5 Class 12 Continuity and Differentiability (Term 1)
  2. Serial order wise

Transcript

Example 29 Differentiate the following w.r.t. x: (iii) ใ€–๐‘๐‘œ๐‘ ใ€—^(โˆ’1) "(ex)" Let ๐‘ฆ = ใ€–๐‘๐‘œ๐‘ ใ€—^(โˆ’1) "(ex)" Differentiating both sides ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ๐‘‘(cos^(โˆ’1)โก(๐‘’^๐‘ฅ ) )/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = (โˆ’1)/โˆš(1 โˆ’ (๐‘’^๐‘ฅ )^2 ) . ๐‘‘(๐‘’^๐‘ฅ )/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = (โˆ’1)/โˆš(1 โˆ’ (๐‘’^๐‘ฅ )^2 ) . ๐‘’^๐‘ฅ ๐’…๐’š/๐’…๐’™ = (โˆ’๐’†^๐’™)/โˆš(๐Ÿ โˆ’ ๐’†^๐Ÿ๐’™ ) (As (cos^(โˆ’1)โก๐‘ฅ )^โ€ฒ=(โˆ’1)/โˆš(1 โˆ’ ๐‘ฅ^2 )) (As(๐‘’^๐‘ฅ )^โ€ฒ=๐‘’^๐‘ฅ)

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
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.