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Example 14 - Find slope of tangent to y = x3 - x at x = 2

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Question 1 Find the slope of the tangent to the curve 𝑦 = π‘₯3 – π‘₯ at π‘₯ = 2.We know that Slope of tangent = 𝑑𝑦/𝑑π‘₯ =𝑑(π‘₯^3βˆ’ π‘₯)/𝑑π‘₯ =3π‘₯^2βˆ’1 Putting π‘₯ = 2 β”œ 𝑑𝑦/𝑑π‘₯─|_(π‘₯=2)=3(2)^2βˆ’1" " =3(4)βˆ’1=12βˆ’1=11 Thus, slope of the tangent is 11

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.