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Question 4 - Tangents and Normals (using Differentiation) - Chapter 6 Class 12 Application of Derivatives

Last updated at Dec. 16, 2024 by Teachoo

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Question 4 Find the slope of the tangent to the curve 𝑦=π‘₯^3βˆ’3π‘₯+2 at the point whose π‘₯βˆ’coordinate is 3 𝑦=π‘₯^3βˆ’3π‘₯+2 We know that slope of tangent =𝑑𝑦/𝑑π‘₯ 𝑑𝑦/𝑑π‘₯=3π‘₯^2βˆ’3 Since π‘₯βˆ’coordinate is 3 Putting π‘₯=3 in (1) 〖𝑑𝑦/𝑑π‘₯β”‚γ€—_(π‘₯ = 3)=3(3)^2βˆ’3 =3 Γ—9βˆ’3 =27βˆ’3 =24 Hence slope of tangent is 24
  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise

    3. Tangents and Normals (using Differentiation)

    Approximations (using Differentiation) →
Approximations (using Differentiation) →
Chapter 6 Class 12 Application of Derivatives
Serial order wise

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo