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. (xi) ใ(0.0037)ใ^(1/2) Let y = โ๐ฅ Let x = 0.0036 & โณ x = 0.0001 Since y = โ๐ฅ ๐๐ฆ/๐๐ฅ = (๐(โ๐ฅ))/๐๐ฅ = 1/(2โ๐ฅ) Now, โ๐ฆ = ๐๐ฆ/๐๐ฅ โณx = 1/(2โ๐ฅ) (0.0001) = 1/(2โ0.0036) (0.0001) = 1/(2 ร 0.06) ร (0.0001) = 0.0001/0.12 = 1/1200 = 0.000833 Also, โ๐ฆ=๐(๐ฅ+โ๐ฅ)โ๐(๐ฅ) So, โ๐ฆ=(๐ฅ+โ๐ฅ)^( 1/2)โ(๐ฅ)^( 1/2) Putting Values 0. 000833=(0. 0036+0. 0001)^( 1/2)โ(0. 0036)^( 1/2) 0. 000833=(0. 0037)^( 1/2)โ(36/10000)^(1/2) 0. 000833=(0. 0037)^( 1/2)โ(6/100)^( 2 ร 1/2) 0. 000833=(0. 0037)^( 1/2)โ(0. 06)^(2 ร 1/2 ) 0. 000833=(0. 0037)^( 1/2)โ(0. 06) 0. 000833+0. 06=(0. 0037)^( 1/2) 0. 060833=(0. 0037)^( 1/2) (0. 0037)^( 1/2)=0. 060833 Thus, the Approximate Value of (0. 0037)^( 1/2)=๐. ๐๐๐๐๐๐
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
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 You are here
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
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