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find the tangents to the curve y=( x3 – 1)(x – 2) at the points where the curve cuts the x-axis
The curve cuts the x axis at points with co-ordinates (2,0);(1,0).So now differentiate the equation as you know it’s a polynomial function hence it’s differentiable...Differentiating it you will find the slope of the tangent at those points..which are..slope,m=7 for (2,0).m= -3 for (1,0).So you can now write the equations knowing the poinrs and slopes of the corresponding lines.
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