Page 177 - ADVANCED MATH F.5

Form Five Form Five

Answers to Revision Exercise 8

1. (a) cos x − sin x (b) 2sin 2x−
x x 2
FOR ONLINE READING ONLY
(c) cosx x + sin x (d) 5sin(5x− + 2)

2 y
xe − 8x 3 lnsin 2y
3. (a) 5cos x + 4sin x (b)
+
4x 4 cot 2ye 2 y (1 x 2 )
−
cos x − sin x 43x−
(c) (d)
2(1 sin cos )x+ x 18x+ − 3x 2

4. (a) tan 2θ (b) sec 2− 3 θ (c) 0.4142

− 2y − 3 6xy
5. (a)
2
6xy + 3x 2
2
2
2
2
( y x + y + ) 2 + 2 sec lnx 3 2 ⎡ ( x + y + ) 2 ⎤
(b) ⎣ ⎦
⎡
2
2
2
2
2
2
( x x + y + ) 2 − 2x y sec ln ( x + y + ) 2 ⎤ ⎦
⎣
 2x 2 ln xx+ 2 + y  2
(c) −  
 2xy ln x 
40xy + 2 2y 2 sec 2x − 2 3x 2 sin y
(d)
x 3 cos y − 2 tan 2y x − 40x y
2
3
2
x
x
e
6. (a) 4e x (1 e+ x ) (c) ( x − ) 3 + 2xe (e) − 5e 1 x−
1 x− 1 3ln x−
(b) (d)
e x x 4
x
e − 1
7. (a) 2xe + 4x e (b)
24x
4x
x
2 e − x
171
Mathematics for Advanced Secondary Schools
30/06/2024 18:02:44
ADVANCED MATH F.5 TG CHAPTERS.indd 171 30/06/2024 18:02:44
ADVANCED MATH F.5 TG CHAPTERS.indd 171