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. (iii) โ0.6 Let y = โ๐ฅ where x = 0.64 & โณx = โ0.04 Since y = โ๐ฅ ๐๐ฆ/๐๐ฅ = (๐(โ๐ฅ))/๐๐ฅ = 1/(2โ๐ฅ) Now, โ๐ฆ = ๐๐ฆ/๐๐ฅ โณx = 1/(2โ0.64) (โ0.04) = 1/(2โ(64/100)) (โ0.04) = 1/(2 ร8/10) ร (โ0.04) = (โ10 ร 0.04)/16 = (โ10 ร 4)/(16 ร 100) = โ0.025 Also, โ๐ฆ=๐(๐ฅ+โ๐ฅ)โ๐(๐ฅ) Putting values โ๐ฆ=โ(๐ฅ+โ๐ฅ)โโ๐ฅ โ0. 025=โ(0.64โ0.04)โโ0.64 โ0.025=โ0.60โ0.8 0.8 โ 0. 025=โ0.60 โ0.60=0.775 Hence, approximate value of โ0.60 is 0.775
Ex 6.4
Ex 6.4, 1 (ii) Not in Syllabus - CBSE Exams 2021
Ex 6.4, 1 (iii) Not in Syllabus - CBSE Exams 2021 You are here
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
About the Author