Question 8 - Finding approximate value of numbers - Chapter 6 Class 12 Application of Derivatives

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Example 21 - Use differential to approximate root 36.6 - Examples

Example 21 - Chapter 6 Class 12 Application of Derivatives - Part 2

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Question 8 Use differential to approximate √36.6Let y = √𝑥 where x = 36 & △ x = 0.6 Since y = √𝒙 𝑑𝑦/𝑑𝑥 = (𝑑(√𝑥))/𝑑𝑥 = 1/(2√𝑥) Now, ∆𝑦 = 𝑑𝑦/𝑑𝑥 △x = 1/(2√𝑥) (0.6) = 0.6/(2 × √36) = 0.6/(2 × 6) = 0.05 Now, √36.6=𝑦+∆𝑦 Putting values √36.6=√36+0.05 √36.6=6+0.05 √(𝟑𝟔.𝟔) = 6.05 Hence, approximate value of √36.6 is 6.05

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo