Check Full Chapter Explained - Continuity and Differentiability - Application of Derivatives (AOD) Class 12

Last updated at Aug. 18, 2020 by Teachoo

Check Full Chapter Explained - Continuity and Differentiability - Application of Derivatives (AOD) Class 12

Transcript

Ex 6.4, 1 Using differentials, find the approximate value of each of the following up to 3 places of decimal. (ii) โ49.5 Let y = โ๐ฅ where x = 49 & โณ x = 0.5 Since y = โ๐ฅ ๐๐ฆ/๐๐ฅ = (๐(โ๐ฅ))/๐๐ฅ = 1/(2โ๐ฅ) Now, โ๐ฆ = ๐๐ฆ/๐๐ฅ โณx = 1/(2โ๐ฅ) (0.5) = 1/(2 ร โ49) ร 0.5 = 1/(2 ร 7) ร 0.5 = 0.5/14 = 0.036 Also, โ๐ฆ=๐(๐ฅ+โ๐ฅ)โ๐(๐ฅ) Putting values โ๐ฆ=โ(๐ฅ+โ๐ฅ)โโ๐ฅ 0. 036=โ(49+0. 5)โโ49 0. 036=โ49.5โ7 0. 036+7=โ49.5 โ49.5=7. 036 Hence, approximate value of โ49.5 is 7.036

Ex 6.4

Ex 6.4, 1 (i)
Important
Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (ii) Not in Syllabus - CBSE Exams 2021 You are here

Ex 6.4, 1 (iii) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (iv) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (v) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (vi) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (vii) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (viii) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (ix) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (x) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (xi) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (xii) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (xiii) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (xiv) Not in Syllabus - CBSE Exams 2021

Ex 6.4, 1 (xv) Not in Syllabus - CBSE Exams 2021

Ex 6.4,2 Not in Syllabus - CBSE Exams 2021

Ex 6.4,3 Important Not in Syllabus - CBSE Exams 2021

Ex 6.4,4 Not in Syllabus - CBSE Exams 2021

Ex 6.4,5 Important Not in Syllabus - CBSE Exams 2021

Ex 6.4,6 Not in Syllabus - CBSE Exams 2021

Ex 6.4,7 Not in Syllabus - CBSE Exams 2021

Ex 6.4,8 Not in Syllabus - CBSE Exams 2021

Ex 6.4,9 Not in Syllabus - CBSE Exams 2021

Chapter 6 Class 12 Application of Derivatives

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.