Page 156 - ADVANCED MATH F.5

Form Five Form Five

− 6± 46 dy 17 3
2. x = 3. =
5 dx 6
2
5x − 23
4. (a) fx =
′
()
FOR ONLINE READING ONLY
2 x − 3
5
( +
(b) g′ () 2x = x 5 ⎡ ( 6 x + ) 2 + 5xx ) 2 4 ⎤
⎣ ⎦
(c) − 3x − 4 (1 x ) + 1 2 1 x − 3 (1 x ) − 1 2
+
+
2
′
7
2
8
()
(d) kx = − 9x + 8x + 6x − 5 5x − 4 6x
′
3. gx = ( 24x − 1 )(x + ) 4 − 3
( )
7. (a) 1 (b) 7, 7− 8. '( )fr = − 6r − 5 4r + 3 2r
dz
9. = 6y − 2 10y − 4
dy
′
10. fu + 1)(3u + 1)(u − 1) ; f ′ 3 ( 5)− = − 24192
( ) 2(u=

Derivative of the quotient of two functions
Teaching steps

1. Design a strategy that will engage students to deduce the rule
for the derivative of the quotient of two functions u and v of an
independent variable x.

2. Assist students through discussion to obtain the quotient rule
du dv
v − u
dy = dx dx . Allow students to share alternative methods
dx v 2
of deducing the quotient rule.

150
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:37
ADVANCED MATH F.5 TG CHAPTERS.indd 150 30/06/2024 18:02:37
ADVANCED MATH F.5 TG CHAPTERS.indd 150