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Matematik Tambahan Tingkatan 5 Bab 2 Pembezaan
BAB

2 Pembezaan

Differentiation

PBD
PBD 2.1 Had dan Hubungannya dengan Pembezaan Buku Teks
PBD
Limit and Its Relation to Differentiation ms. 30 – 37
FOKUS TOPIK

dy
1. dx disebut sebagai terbitan pertama y terhadap x.
dy Langkah-langkah Pengenalan kepada
dx is known as the first derivative of y with respect to x. menentukan had Pembezaan
dy df(x) Steps to determine Introduction to
2. juga boleh ditulis sebagai = f'(x) apabila y = f(x).
dx dx NOTA limit VIDEO Differentiation
dy df(x)
dx can be written as dx = f'(x) when y = f(x).

1. Cari nilai had bagi fungsi yang berikut. SP 2.1.1 TP1
Find the limit for each of the following functions.

(a) had/lim 4 – x 3 2h + x

had/lim x – 3x x → 0 (b) had/lim 3h
2
x → 0
x → 1 = 4 – 0 2h + 0
=
= 4

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2
3h
= –2 2
=
Tip Penting 3
Gunakan penggantian
secara langsung jika
0 0
f(a) ≠ atau f(a) = 0
0
Use direct substitution if
0 0
f(a) ≠ or f(a) = 0
0
(c) had/lim 8 – x (d) had/lim x + 7 2x + 1
 2
x → 2 x → –1 x – 5 (e) had/lim 
2

x + 1
 2
= 8 – 2 –1 + 7 x → 4

= 4 = (–1) – 5 = 2(4) + 1
2
4 + 1
= 2 
= 6 = 8 + 1
–4 2 + 1
3 9
= – =
2 3
= 3

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