Example 21 - Chapter 6 Class 12 Application of Derivatives (Term 1)
Last updated at April 19, 2021 by Teachoo
Transcript
Example 21 Use differential to approximate โ36.6Let y = โ๐ฅ where x = 36 & โณ x = 0.6 Since y = โ๐ ๐๐ฆ/๐๐ฅ = (๐(โ๐ฅ))/๐๐ฅ = 1/(2โ๐ฅ) Now, โ๐ฆ = ๐๐ฆ/๐๐ฅ โณx = 1/(2โ๐ฅ) (0.6) = 0.6/(2 ร โ36) = 0.6/(2 ร 6) = 0.05 Now, โ36.6=๐ฆ+โ๐ฆ Putting values โ36.6=โ36+0.05 โ36.6=6+0.05 โ(๐๐.๐) = 6.05 Hence, approximate value of โ36.6 is 6.05
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About the Author
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.