Page 165 - ADVANCED MATH F.5

Form Five Form Five

5. Direct students to attempt Exercise 8.10 in the Student’s Book.
Advise students to submit their work; check the correctness
of their answers, and provide them feedback where necessary.

FOR ONLINE READING ONLY
Answers to Exercise 8.10

2
2
1. (a) 4 (5xx − 16)(x − 8) (b) 2sec 2x + 10tan5 sec 5x 2 x
2
( x + 6x + ) 4
) ( x +
(c) − 2 (d) (3x− 2 + 2 sin 3 2x+ ) 1
2
( x − ) 4
(e) 7cos(7x + 4)

2. (a) 2cos2 cos4x x − 4sin 2 sin 4x x
2 2
(c) −
14x− 2 2 x− 2
(d) 3sec(3x + 6)tan(3x + 6)

(7x + 29) − 4 − 5
(e) − (2x + 1 ) (x − ) 8 3
5
15
(f) 2cosec2 cot 2 cosec (cosec2 )x x 2 x

Derivatives of logarithmic functions
Teaching steps

1. Guide students through discussions to deduce derivatives of
logarithmic functions. Assist them to change logarithmic form
into exponential form and logarithms base b into logarithms
base e.
2. For further practice, engage students through discussion to
perform Activity 8.4 in the Student’s Book on recognizing
derivatives of logarithmic functions. Advise students to share
their findings through presentations.

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Mathematics for Advanced Secondary Schools

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