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Question 1 - Finding slope of tangent/normal - Chapter 6 Class 12 Application of Derivatives
Last updated at December 16, 2024 by Teachoo
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
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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
Question 1 Find the slope of the tangent to the curve 𝑦 = 𝑥3 – 𝑥 at 𝑥 = 2.We know that Slope of tangent = 𝑑𝑦/𝑑𝑥 =𝑑(𝑥^3− 𝑥)/𝑑𝑥 =3𝑥^2−1 Putting 𝑥 = 2 ├ 𝑑𝑦/𝑑𝑥┤|_(𝑥=2)=3(2)^2−1" " =3(4)−1=12−1=11 Thus, slope of the tangent is 11
