Further Mathematics Paper 2, May/June. 2010
 Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Main
Weakness/Remedies
Strength

Question 4

If3 X2 + 2l + xy + x -7 = 0, find dy at the point (-2,1)

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Observation

Candidates were expected to differentiate 3x2 + 2l + xy + x -7 = ° with respect to
.                     dy    dy                         .                  dy          6x+y+l                      dy
xtoobtam6x+4y-+y+x-+ 1 =O which gave -= . To find - at
dx    dx                                             dx            4y+x                         dx
(-2, 1), candidates should substitute -2 for x and 1 for y and after simplifying,
would obtain dy = 5. These steps were reportedly followed by majority of the
dx                                                                     .
candidates except for the few who were not able to manipulate directed numbers correctly hence they lost some marks.