Example 29 - Differentiate (i) e^-x (ii) sin (log x) (iii) cos^-1 e^x



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


Example 29 Differentiate the following w.r.t. x: (i) ๐‘’^(โ€“๐‘ฅ)Let ๐‘ฆ = ๐‘’^(โ€“๐‘ฅ) Differentiating both sides ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ๐‘‘(๐‘’^(โˆ’๐‘ฅ) )/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ๐‘’^(โˆ’๐‘ฅ) . ๐‘‘(โˆ’๐‘ฅ)/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ๐‘’^(โˆ’๐‘ฅ) (โˆ’1) . ๐’…๐’š/๐’…๐’™ = ใ€–โˆ’๐’†ใ€—^(โˆ’๐’™)

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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.