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Question 11 - Finding approximate value- Statement questions - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Finding approximate value- Statement questions
Chapter 6 Class 12 Application of Derivatives
Concept wise
- Finding rate of change
- To show increasing/decreasing in whole domain
- To show increasing/decreasing in intervals
- Find intervals of increasing/decreasing
- Finding slope of tangent/normal
- Finding point when tangent is parallel/ perpendicular
- Finding equation of tangent/normal when point and curve is given
- Finding equation of tangent/normal when slope and curve are given
- Finding approximate value of numbers
- Finding approximate value of function
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Finding approximate value- Statement questions
- Finding minimum and maximum values from graph
- Local maxima and minima
- Minima/ maxima (statement questions) - Number questions
- Minima/ maxima (statement questions) - Geometry questions
- Absolute minima/maxima
Transcript
Question 11 Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%.Given Side of the cube = x metres Also, Increase in side = 2% of side = 0.02x Hence, ∆𝒙 = 0.02 x And, Volume of the cube = V = x3 m3 We need to find Approximate change in volume of the cube i.e. ∆𝑽 Now, ∆𝑉 = 𝑑𝑉/𝑑𝑥 ∆𝑥" " = (𝑑(𝑥^3))/𝑑𝑥 ∆𝑥" " = 3x2 (0.02x) = 0.06 x3 Hence, the approximate change in the volume of the cube is 0.06 x3 m3
