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


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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.