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. (x) ใ(401)ใ^(1/2) Let ๐ฆ=๐ฅ^( 1/2) where ๐ฅ=400 & โ๐ฅ=1 Now, ๐๐ฆ/๐๐ฅ=1/(2โ๐ฅ) Using โ๐ฆ=๐๐ฆ/๐๐ฅ โ๐ฅ โ๐ฆ=๐๐ฆ/(2โ๐ฅ) โ๐ฅ Putting Values โ๐ฆ=1/(2โ400) ร(1) โ๐ฆ=1/(2โ400) ร(1) โ๐ฆ=1/(2โ(ใ20ใ^2 )) โ๐ฆ=1/(2 ร 20) โ๐ฆ=1/40 โ๐ฆ=0. 025 We know that โ๐ฆ=๐(๐ฅ+โ๐ฅ)โ๐(๐ฅ) So, โ๐ฆ= (๐ฅ+โ๐ฅ)^( 1/2)โ(๐ฅ)^( 1/2) Putting Values 0. 025=(400+1)^( 1/(2 ))โใ(400) ใ^(1/2) 0. 025=(401)^( 1/2)โ(20)^( 2 ร 1/2) 0. 025=(401)^( 1/2)โ20 0. 025+20=(401)^( 1/2) 20. 025=(401)^( 1/2) (401)^( 1/2)=20. 025 Thus, the Approximate Value of (401)^( 1/2) is ๐๐. ๐๐๐
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 You are here
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
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