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

Last updated at Jan. 7, 2020 by Teachoo

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

Transcript

Ex 6.4, 3 Find the approximate value of f (5.001), where f (x) = x3 โ 7x2 + 15.Let x = 5 and โ x = 0.001 Given f (x) = x3 โ 7x2 + 15 ๐โ(x) = 3x2 โ 14x Now, โy = fโ(x) โ๐ฅ = (3x2 โ 14x) 0.001 Also, โy = f (x + โx) โ f(x) f(x + โx) = f(x) + โy f (5.001) = x3 โ 7x2 + 15 + (3x2 โ 14x) 0.001 Putting value of x = 5 f (5.001) = 53 โ 7(5)2 + 15 + (0.001) [3"(5)2" โ14(5)] = (125 โ 175 + 15) + (0.001) (5) = โ35 + 0.005 = โ34.995 Hence, the approximate value of f (5.001) is โ34.995

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

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 You are here

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.