Ex 5.7, 4 - Find second order derivatives of log x - Teachoo

Ex 5.7, 4 - Chapter 5 Class 12 Continuity and Differentiability - Part 2

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

Transcript

Ex 5.7, 4 Find the second order derivatives of the function logโก๐‘ฅ Let y = logโก๐‘ฅ Differentiating ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ . ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = (๐‘‘(logโก๐‘ฅ))/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = 1/๐‘ฅ Again Differentiating ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ ๐‘‘/๐‘‘๐‘ฅ (๐‘‘๐‘ฆ/๐‘‘๐‘ฅ) = (๐‘‘ )/๐‘‘๐‘ฅ (1/๐‘ฅ) (๐‘‘^2 ๐‘ฆ)/(๐‘‘๐‘ฅ^2 ) = (๐‘‘(๐‘ฅ^(โˆ’1)))/๐‘‘๐‘ฅ (๐‘‘^2 ๐‘ฆ)/(๐‘‘๐‘ฅ^2 ) = "โˆ’1" ๐‘ฅ^(โˆ’1โˆ’1) (๐‘‘^2 ๐‘ฆ)/(๐‘‘๐‘ฅ^2 ) = ๐‘ฅ^(โˆ’2) (๐’…^๐Ÿ ๐’š)/(๐’…๐’™^๐Ÿ ) = (โˆ’๐Ÿ)/๐’™^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.