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Tangents and Normals (using Differentiation)
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Tangents and Normals (using Differentiation)
Last updated at May 29, 2023 by Teachoo
Question 4 Find the slope of the tangent to the curve π¦=π₯^3β3π₯+2 at the point whose π₯βcoordinate is 3 π¦=π₯^3β3π₯+2 We know that slope of tangent =ππ¦/ππ₯ ππ¦/ππ₯=3π₯^2β3 Since π₯βcoordinate is 3 Putting π₯=3 in (1) γππ¦/ππ₯βγ_(π₯ = 3)=3(3)^2β3 =3 Γ9β3 =27β3 =24 Hence slope of tangent is 24