Ex 6.1,6 - Chapter 6 Class 12 Application of Derivatives
Last updated at August 13, 2026 by Teachoo
Finding rate of change
Example 1
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Chapter 6 Class 12 Application of Derivatives
Concept wise
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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
- 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
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Transcript
Ex 6.1, 6 The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference? Let r be the radius of circle & C be the circumference of circle Given that Radius of a circle is increasing at the rate of 0.7 cm/sec i.e. š š/š š = 0.7 cm/sec We need find rate of change of circumference of circle w. r. š” time i.e. we need to calculate š šŖ/š š We know that Circumference of circle = 2Ļr Now, šš¶/šš” = (š(2šš))/šš” šš¶/šš” = 2Ļ š š/š š šš¶/šš” = 2Ļ Ć 0.7 šš¶/šš” = 1.4Ļ (From (1): šš/šš” = 5 ) Since circumference is in cm & time is in sec šš¶/šš” = 1.4Ļ cm/sec Hence, circumference of circle is increasing at the rate of 1.4Ļ cm/sec
