Page 154 - ADVANCED MATH F.5

Form Five Form Five

3. Guide students through discussion to attempt Examples 8.5,
8.6, and 8.7 in the Student’s Book, and assist them in applying
the power rule of differentiation. Engage students to use
mathematical software to verify the solutions for the functions
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in the given examples. Advise them to share their findings.
4. Instruct students to attempt Exercise 8.2 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 practice further.

Answers to Exercise 8.2

1. (a) (1)f ′ = 2 − (b) (0) 0f ′ =
(c) f ′ ( 1) 20− = (d) ( 2)f ′ − = − 37

1 9 4 4 − 6
2. (a) f ′ ()x = ax − 3b (b) fx = x − x
()
′
5
5
2 25 25
3 2
′
() =
(c) fx 2 x − x
′
3. (a) ( ) 4fx = x − 12 (b) gx = 3 (2x − 3)
′
( )
2 4
′
1)
(c) ( )hx = (x −
3
⎛
2
4. a = 5. − 2, 1 ⎞ ⎟ 6 . x = ± 2 3
⎜
⎝ 2 ⎠ 3
7. t = 0, t = − 1; (2) 36x′ = 8. (1) 9h′ =
7 dy
9. 4x − 8x − 3 ; 15 10. = − 200 (x + ) 2 ; 200−
8 dx

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 148