Tangents and Normals (using Differentiation)

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Chapter 6 Class 12 Application of Derivatives
Serial order wise

Ex 6.3, 4 - Find slope of tangent at y = x3 - 3x + 2 at x = 3

Ex 6.3,4 - Chapter 6 Class 12 Application of Derivatives - Part 2


Transcript

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

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.