1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise
  3. Ex 5.7
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Ex 5.7, 2 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at Dec. 16, 2024 by Teachoo

Transcript

Ex 5.7, 2 Find the second order derivatives of the function ๐‘ฅ^20 Let y = ๐‘ฅ^20 Differentiating ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = (๐‘‘(๐‘ฅ^20))/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ใ€–20๐‘ฅใ€—^(20โˆ’1) ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = ใ€–20๐‘ฅใ€—^19 Again Differentiating ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ ๐‘‘/๐‘‘๐‘ฅ (๐‘‘๐‘ฆ/๐‘‘๐‘ฅ) = (๐‘‘ (ใ€–20๐‘ฅใ€—^19))/๐‘‘๐‘ฅ (๐‘‘^2 ๐‘ฆ)/(๐‘‘๐‘ฅ^2 ) = (20 ๐‘‘(๐‘ฅ^19))/๐‘‘๐‘ฅ (๐‘‘^2 ๐‘ฆ)/(๐‘‘๐‘ฅ^2 ) = 20 ร— 19 ๐‘ฅ^(19โˆ’1) (๐‘‘^2 ๐‘ฆ)/(๐‘‘๐‘ฅ^2 ) = 20 ร— 19 ๐‘ฅ^18 (๐‘‘^2 ๐‘ฆ)/(๐‘‘๐‘ฅ^2 ) = 380 ๐‘ฅ^18 Thus, (๐’…^๐Ÿ ๐’š)/(๐’…๐’™^๐Ÿ ) = 380 ๐’™^๐Ÿ๐Ÿ–
  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise

    3. Ex 5.7

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Chapter 5 Class 12 Continuity and Differentiability
Serial order wise

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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