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Last updated at April 19, 2021 by Teachoo

Example 14 Find the slope of the tangent to the curve π¦ = π₯3 β π₯ at π₯ = 2.We know that Slope of tangent = ππ¦/ππ₯ =π(π₯^3β π₯)/ππ₯ =3π₯^2β1 Putting π₯ = 2 β ππ¦/ππ₯β€|_(π₯=2)=3(2)^2β1" " =3(4)β1=12β1=11 Thus, slope of the tangent is 11