Page 169 - ADVANCED MATH F.5

Form Five Form Five

dy dy 1 1
2
4. (a) = − tant (b) = − e t − sec t (c) −
3
dx dx 2 2 2
6. (a) − 1 (b) 48
FOR ONLINE READING ONLY
dy 1 2ln( ) 3x − 2ln(2) 3−
7. = 9. ; 10. 1
dx 5 x 3 8

Applications of differentiation

Teaching steps
1. Design a strategy that will engage students to use applications
of differentiations to solve problems on small changes.
2. For further understanding, use Examples 8.55 to 8.58 in the
Student’s Book to guide students and assist them to find
solutions of problems on small changes.

3. Instruct students to attempt Exercise 8.14 in the Student’s Book.
Advise students to submit their work; check the correctness of
their answers, and provide them constructive feedback.

Answers to Exercise 8.14

∆ 1. 0.18y =

2. (a) 3.001 (c) 2.005 (b) 127.25

3. 0.03 cmx 3 3 7. 1.8 cmπ 2

4. 80 m ; 16 mπ 3 π 2 8. 1.25%

5. 40 cmπ 3 10. 1 y %
2
6. 0.015

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Mathematics for Advanced Secondary Schools

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