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. (i) β25.3 Let y = βπ₯ where x = 25 & β³ x = 0.3 Since y = βπ₯ ππ¦/ππ₯ = (π(βπ₯))/ππ₯ = 1/(2βπ₯) Now, βπ¦ = ππ¦/ππ₯ β³x = 1/(2βπ₯) (0.3) = 1/(2β25) (0.3) = 1/(2 Γ 5) Γ 0.3 = 0.3/10 = 0.03 Also, βπ¦=π(π₯+βπ₯)βπ(π₯) Putting values βπ¦=β(π₯+βπ₯)ββπ₯ 0. 03=β(25+0. 3)ββ25 0. 03=β(25. 3)β5 0. 03+5=β(25. 3) β(25. 3)=5. 03 Hence, approximate value of β25.3 is 5.03

Ex 6.4

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

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.