Ex 6.4, 5 - Find approx change in surface area of cube of side x - Ex 6.4

Slide51.JPG

  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise
Ask Download

Transcript

Ex 6.4,5 Find the approximate change in the surface area of a cube of side x meters caused by decreasing the side by 1%. Let side of the cube = x meters. Decrease in side = 1% = − 0.01 x Hence ∆ x = −0.01 x Surface area of the cube = S = 6x2 m2 We need to find the approximate change in the surface area s of the cube that is ∆ S Now. ∆ S = 𝑑𝑠﷮𝑑𝑥﷯ ∆ x = 𝑑 6 𝑥﷮2﷯﷯﷮𝑑𝑥﷯ ∆ x = 12x (−0.01x) = − 0.12x2 Hence, the approximate change is 0.12x2 m2.

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.