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Question 4 - Finding slope of tangent/normal - Chapter 6 Class 12 Application of Derivatives
Last updated at August 13, 2026 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 4 Find the slope of the tangent to the curve π¦=π₯^3β3π₯+2 at the point whose π₯βcoordinate is 3 π¦=π₯^3β3π₯+2 We know that slope of tangent =ππ¦/ππ₯ ππ¦/ππ₯=3π₯^2β3 Since π₯βcoordinate is 3 Putting π₯=3 in (1) γππ¦/ππ₯βγ_(π₯ = 3)=3(3)^2β3 =3 Γ9β3 =27β3 =24 Hence slope of tangent is 24
