1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise
  3. Approximations (using Differentiation)
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Question 4 - Approximations (using Differentiation) - Chapter 6 Class 12 Application of Derivatives

Last updated at Dec. 16, 2024 by Teachoo

Transcript

Question 4 Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 1%.Let side of the cube = x metres Increase in side = 1% = 0.01 x Hence, ∆x = 0.01 x Volume of the cube = V = x3 m3 We need to find approximate change in volume v of the cube i.e. ∆V Now, ∆V = 𝑑𝑣/𝑑𝑥 ∆x = (𝑑(𝑥^3))/𝑑𝑥 ∆x = 3x2 (0.01x) = 0.03 x3 Hence, the approximate change is 0.03 x3 m3.
  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise

    3. Approximations (using Differentiation)

    Finding rate of change →
Finding rate of change →
Chapter 6 Class 12 Application of Derivatives
Serial order wise

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Davneet Singh

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