Page 166 - ADVANCED MATH F.5

Form Five Form Five

3. Use Examples 8.39 to 8.45 in the Student’s Book to guide
students and assist them in finding derivatives of logarithmic
functions. Engage students to use mathematical software to
verify the solutions of the given problems.
FOR ONLINE READING ONLY
4. Require students to attempt Exercise 8.11 in the Student’s
Book. Advise them to submit their work; check the correctness
of their answers, and provide them constructive feedback.

Answers to Exercise 8.11
5
1. (a) y′ = (b) y′ = ln x (c) y′ = 2sin(ln )x
5x − 4

2 2x 3x 2
2. y′ = 3. y′ = +
(x + 3)(x + 5) x + 3 x + 2
2
3
1 4 6
′
4. (a) fx = (b) fx = −
()
′
()
1 x+ 2 x 3x − 5
x
′
( )
(c) fx = (sin x ) [ln(sin )x + x cot ] x
(d) fx 6x − 12x 2
′
() =
2 x+ 2 1 x− 3
2
+
5. (a) y′ = (sin x ) tan x (1 sec x lnsec ) x
2
2x 2x − 4
(b) y′ = − 7cosec2x (c) y′ =
2
x + 3 ( xx − ) 4
2
(d) y′ = x x (1 ln )x+
2cosec2x
′
6. fx = 7. 2sec2θ
()
ln tan x
3 dy 1
11. y′ = 2 12. =
( 4 ln 2 ) dx 2

160
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:40
ADVANCED MATH F.5 TG CHAPTERS.indd 160
ADVANCED MATH F.5 TG CHAPTERS.indd 160 30/06/2024 18:02:40