Slide65.JPG

Slide66.JPG

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

Transcript

Ex 5.7, 1 Find the second order derivatives of the function ๐‘ฅ^2 + 3๐‘ฅ + 2 Let ๐‘ฆ = ๐‘ฅ^2 + 3๐‘ฅ + 2 Differentiating ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = (๐‘‘(๐‘ฅ^2 + 3๐‘ฅ + 2))/(๐‘‘๐‘ฅ ) ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = (๐‘‘(๐‘ฅ^2))/๐‘‘๐‘ฅ + (๐‘‘(3๐‘ฅ) )/๐‘‘๐‘ฅ + (๐‘‘(2) )/๐‘‘๐‘ฅ ๐‘‘๐‘ฆ/๐‘‘๐‘ฅ = 2๐‘ฅ+3+0 ๐’…๐’š/๐’…๐’™ = ๐Ÿ๐’™ + ๐Ÿ‘ Again Differentiating ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ ๐’…/๐’…๐’™ (๐’…๐’š/๐’…๐’™) = (๐’… (๐Ÿ๐’™ + ๐Ÿ‘))/๐’…๐’™ (๐‘‘^2 ๐‘ฆ)/ใ€–๐‘‘๐‘ฅใ€—^2 = ๐‘‘(2๐‘ฅ)/๐‘‘๐‘ฅ + ๐‘‘(3)/๐‘‘๐‘ฅ (๐‘‘^2 ๐‘ฆ)/ใ€–๐‘‘๐‘ฅใ€—^2 = 2 + 0 (๐’…^๐Ÿ ๐’š)/ใ€–๐’…๐’™ใ€—^๐Ÿ = 2

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.