Page 77 - Past Year

75 | P a g e

ANSWERS

3
1. (i) 1 (ii)
2

2 xy
dy y e
2. 

dx 1 xye xy
3. – Refer to Lecturer –
9
4. (a) x   20 (b) x 
2
5. x  2, y  or x   2, y   2
dy 2x  2 dy
6. (a) x   2 (b)  ;   2
2
dx 3y  2y dx
2
dy B d y B
7. (a)  2Ax  ;  2A ; – Refer to Lecturer –
dx x 2 dx 2 x 3
(b) A  , B  1
2
8. – Refer to Lecturer –
9. – Refer to Lecturer –

dy 7 dy  4 2x   3 3 2

10. (a)   (b)    6 2x   3 ln 4x   5
dx x   2 2 dx 4x  5


dy x y 1
11. (a)  , (b) A  2, B  3
dx x  3y 7

12. f '( ) 6x  2
x
2

dy  4 2xye 4x dy  2  xy  2x y   2
13. (a)  or  (b) – Refer to Lecturer –
2 4x
dx x e dx x 2
dy  2 2 1
14. (a)   1 
dx x 4 x 3 2 x
dy 1
(b)  4x  1
dx x 2
dy 2
(c)   2x 
5
dx x

dy  2xy
15. 

dx x  2 y e y