Question 4 - Approximations (using Differentiation) - Chapter 6 Class 12 Application of Derivatives
Last updated at April 16, 2024 by Teachoo
Approximations (using Differentiation)
Question 1 (ii)
Question 1 (iii)
Question 1 (iv)
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Question 1 (vi)
Question 1 (vii)
Question 1 (viii)
Question 1 (ix)
Question 1 (x)
Question 1 (xi) Important
Question 1 (xii)
Question 1 (xiii)
Question 1 (xiv) Important
Question 1 (xv)
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Question 4 You are here
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Question 8 (MCQ) Important
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Approximations (using Differentiation)
Last updated at April 16, 2024 by Teachoo
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.