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

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Example 14 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.