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Question 1 - Finding slope of tangent/normal - Chapter 6 Class 12 Application of Derivatives
Last updated at April 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
Transcript
Question 1 Find the slope of the tangent to the curve 𝑦=3𝑥4 – 4𝑥 𝑎𝑡 𝑥= 4Given 𝑦=3𝑥4 – 4𝑥 We need to find Slope of tangent at x = 4 We know that Slope of tangent =𝑑𝑦/𝑑𝑥 =3 × 4𝑥^3−4 =𝟏𝟐𝒙^𝟑−𝟒 Putting 𝑥=4 =12(4)^3−4 =768−4 =𝟕𝟔𝟒 Thus, Slope of the tangent at 𝑥=4 is 764
