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Further Mathematics Paper 2, Nov/Dec. 2007  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Main
General Comments
Weakness/Remedies
Strength



Question 3

Find the equation of the tangent to the curve y = x3 – 4x at the point where x = 1.

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Observation

This was a question on coordinate geometry.  Candidates were expected to differentiate y = x3 – 4x to get dy/dx = 3x2 – 4, substitute the value x = 1 to get the slope of line at the point x = 1 whissch is –1.  At x  = –1, y = -3.  Thus the equation of the tangent become y + 3 = -1(x – 1) » y + x + 2 = 0.  Most candidates who attempted this question performed well and scored full marks.

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