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Example 24 - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example 24 Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%. Let side of the cube = x metres Increase in side = 2% = 0.02 x Hence = 0.02 x Volume of the cube = V = x3 m3 We need to find approximate change in volume of the cube i.e. Now, = = ( 3 ) = 3x2 (0.02x) = 0.06x3 Hence, the approximate change in the volume of the cube is 0.06 x3 m3.
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Chapter 6 Class 12 Application of Derivatives
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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.