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

Last updated at April 14, 2021 by Teachoo

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

Transcript

Ex 6.1, 1 Find the rate of change of the area of a circle with respect to its radius r when (a) r = 3 cm (b) r = 4 cmLet Radius of circle = ๐ & Area of circle = A We need to find rate of change of Area w. r. t Radius i.e. we need to calculate ๐ ๐จ/๐ ๐ We know that Area of Circle = A = ใ๐๐ใ^2 Finding ๐ ๐จ/๐ ๐ ๐๐ด/๐๐ = (๐ (ใ๐๐ใ^2 ))/๐๐ ๐๐ด/๐๐ = ๐ (๐ใ(๐ใ^2))/๐๐ ๐๐ด/๐๐ = ๐(2๐) ๐ ๐จ/๐ ๐ = ๐๐ ๐ When r = 3 cm ๐๐ด/๐๐ = 2ฯr Putting r = 3 cm โ ๐๐ด/๐๐โค|_(๐ = 3)= 2ฯ ร 3 โ ๐๐ด/๐๐โค|_(๐ = 3) = 6ฯ Since Area is in cm2 & radius is in cm ๐๐ด/๐๐ = 6ฯ cm2/cm Hence, Area is increasing at the rate of 6ฯ cm2/ cm when r = 3 cm (ii) When r = 4 cm ๐๐ด/๐๐ = 2ฯr Putting r = 4 cm ๐๐ด/๐๐ = 2ฯ ร 4 ๐๐ด/๐๐ = 8ฯ Since Area is in cm2 & radius is in cm ๐ ๐จ/๐ ๐ = 8ฯ cm2/cm Hence, Area is increasing at the rate of 8ฯ cm2/cm when r = 4 cm

Ex 6.1

Ex 6.1, 1
Not in Syllabus - CBSE Exams 2021
You are here

Ex 6.1,2 Not in Syllabus - CBSE Exams 2021

Ex 6.1,3 Not in Syllabus - CBSE Exams 2021

Ex 6.1,4 Important Not in Syllabus - CBSE Exams 2021

Ex 6.1,5 Important Not in Syllabus - CBSE Exams 2021

Ex 6.1,6 Not in Syllabus - CBSE Exams 2021

Ex 6.1,7 Not in Syllabus - CBSE Exams 2021

Ex 6.1,8 Not in Syllabus - CBSE Exams 2021

Ex 6.1,9 Not in Syllabus - CBSE Exams 2021

Ex 6.1,10 Important Not in Syllabus - CBSE Exams 2021

Ex 6.1,11 Important Not in Syllabus - CBSE Exams 2021

Ex 6.1,12 Not in Syllabus - CBSE Exams 2021

Ex 6.1,13 Important Not in Syllabus - CBSE Exams 2021

Ex 6.1,14 Not in Syllabus - CBSE Exams 2021

Ex 6.1,15 Important Not in Syllabus - CBSE Exams 2021

Ex 6.1,16 Not in Syllabus - CBSE Exams 2021

Ex 6.1,17 Not in Syllabus - CBSE Exams 2021

Ex 6.1, 18 Not in Syllabus - CBSE Exams 2021

Chapter 6 Class 12 Application of Derivatives

Serial order wise

About the Author

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.