Page 161 - ADVANCED MATH F.5

Form Five Form Five

2. Use Examples 8.18 to 8.20 in the Student’s Book to guide
students through discussion to differentiate implicit functions.
Engage students to use mathematical software to verify the
solutions of the given Examples.
FOR ONLINE READING ONLY
3. Instruct the students to attempt Exercise 8.7 in the Student’s
Book. Advise students to submit their work. Encourage
students to explore additional resources, such as online
tutorials, Symbolab, Mathematica or reference books, to enrich
their understanding and practice further.

Answers to Exercise 8.7

dy 4x dy 12y−
1. (a) dx = − y ( 1 x+ 2 ) 2 (b) dx = 2x + 2y − 1

2
(c) dy = 6xy − 2 4 8x y − 3 5 4xy − 2 3 y (d) dy = − y + 2x
2
dx 12x y − 4 4 12xy + 3 3 4xy + 3 2 x dx 3y + 2xy

dy 12xy− 3 dy 13 dy y − 2 2x − 2xy
2. = 3. = 5. =
2
2
dx 3x y 2 dx 9 dx x + 2y − 2xy
dz 6z −− dy y − 2 2x − 2xy
32x
6. = 9. =
dx 2z − 6x − 2 dx x − 2 2xy + 2y

dy ay x− 2
10. =
2
dx y − ax

dy y dy 4x xy − y
13. (a) = − 3 (b) =
dx x dx 2 xy + x
dy y − 4x − 3 4xy 2
(c) =
dx 4x y + 2 4y − 3 x

155
Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 155 30/06/2024 18:02:39
ADVANCED MATH F.5 TG CHAPTERS.indd 155