Page 157 - ADVANCED MATH F.5

Form Five Form Five

3. Use Examples 8.10 and 8.11 in the Student’s Book to guide
students to apply the quotient rule to differentiate the given
functions. Engage students to use mathematical software
and scientific calculators to verify the solutions for the given
(s − FOR ONLINE READING ONLY
Examples. Advise them to share their findings.

4. Instruct students to attempt Exercise 8.4 in the Student’s Book.
Advise them to submit their work; check the correctness of their
answers, and provide them constructive feedback. Encourage
students to explore additional resources, such as online tutorials,
Symbolab, Mathematica or reference books, to enrich their
understanding and further practice.

Answers to Exercise 8.4

x
2
16 4(x + 1) ( 2 x ++ ) 2
1. (a) − (b) − (c) −
(3x − 2) 2 (x − 1) 3 ( x − ) 2 2
2
1 3
−
2. (a) (1 x ) (3 x ) ; (2) 0.052f ′ =
−
+
+
2
2
3 x + 3
(b) ; f ′ (2) 0.095=
( 2 x + ) 3 2 x
1 − 3
2
(c) x (10x + 33x − 12 )(x + ) 3 2 ; 8.408
2
1 3 2
3. (a) − (b) 1− (c)
t 4 q 2 3
9
4. 5. x = 0 and x = − 2
4

9. − 4s + 2 20s − 22 , − 208
3 ) (s − 2 ) 4 2 9

151
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:38
ADVANCED MATH F.5 TG CHAPTERS.indd 151 30/06/2024 18:02:38
ADVANCED MATH F.5 TG CHAPTERS.indd 151