Subscribe to our Youtube Channel - https://you.tube/teachoo
Example 6 - Chapter 6 Class 12 Application of Derivatives
Last updated at May 29, 2018 by Teachoo
Transcript
Example 6 The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5. Find the marginal revenue, when x = 5, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant. Marginal revenue is rate of change of total revenue w. r. t the number of unit sold Let MR be marginal revenue Given, R is total revenue. & 𝑥 is number of units sold. So, MR = 𝑑𝑅𝑑𝑥 Given, Total revenue = R (𝑥) = 3𝑥2 + 36𝑥 + 5 We need to find marginal revenue when 𝑥 = 5 i.e. MR when 𝑥 = 5 MR = 𝑑𝑅𝑥𝑑𝑥 MR = 𝑑 3𝑥2 + 36𝑥 + 5 𝑑𝑥 MR = 𝑑(3𝑥2)𝑑𝑥 + 𝑑(36𝑥)𝑑𝑥 + 𝑑(5)𝑑𝑥 MR = 3 𝑑(𝑥2)𝑑𝑥 + 36 𝑑(𝑥)𝑑𝑥 + 0 MR = 3 × 2𝑥 + 36 MR = 6𝑥 + 36 MR when 𝑥 = 5 MR = 6 (5) + 36 MR = 30 + 36 MR = 66 Hence, the required marginal revenue is Rs. 66
Examples
Example 1
Not in Syllabus - CBSE Exams 2021
Example 2 Not in Syllabus - CBSE Exams 2021
Example 3 Not in Syllabus - CBSE Exams 2021
Example 4 Important Not in Syllabus - CBSE Exams 2021
Example 5 Not in Syllabus - CBSE Exams 2021
Example 6 Not in Syllabus - CBSE Exams 2021 You are here
Example 7
Example 8 Important
Example 9 Important
Example 10
Example 11 Important
Example 12
Example 13 Important
Example 14
Example 15
Example 16
Example 17 Important
Example 18
Example 19
Example 20
Example 21 Not in Syllabus - CBSE Exams 2021
Example 22 Not in Syllabus - CBSE Exams 2021
Example 23 Not in Syllabus - CBSE Exams 2021
Example 24
Example 25
Example 26
Example 27
Example 28 Important
Example 29
Example 30 Important
Example 31
Example 32 Important
Example 33 Important
Example 34
Example 35 Important
Example 36
Example 37 Important
Example 38 Important
Example 39
Example 40 Important
Example 41 Important
Example 42 Important Not in Syllabus - CBSE Exams 2021
Example 43 Important Not in Syllabus - CBSE Exams 2021
Example 44 Important Not in Syllabus - CBSE Exams 2021
Example 45 Important
Example 46 Important
Example 47 Important
Example 48 Important
Example 49 Not in Syllabus - CBSE Exams 2021
Example 50 Important
Example 51
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.