Mathematics, English - Grade 12
Weekly Cheat Sheet
By
Bongani Monyoko
Contact Details: +27 709 703 6677, Whatsapp 0815981705
Differentiation: the process of getting the derivative of a
function, or rate of change e.g �� or ��
�� ��
Rules of differentiation:
General rule for differentiation:
��
��
[�� ] = ���−1 , where n ∈ R and n≠ 0
The derivative of a constant is equal to zero:
�
[�] = 0
��
The derivative of a constant multiplied by a function is
equal to the constant multiplied by the derivative of the
function:
� �
[� × �(�)] = � [�(�)]
�� ��
The derivative of a sum is equal to the sum of derivatives:
� � �
��
[�(�) + �(�)]=�� [�(�)] + �� [�(�)]
The derivative of a difference is equal to the difference of
derivatives:
� � �
��
[�(�) − �(�)]=�� [�(�)] − �� [�(�)]
Weekly Cheat Sheet
By
Bongani Monyoko
Contact Details: +27 709 703 6677, Whatsapp 0815981705
Differentiation: the process of getting the derivative of a
function, or rate of change e.g �� or ��
�� ��
Rules of differentiation:
General rule for differentiation:
��
��
[�� ] = ���−1 , where n ∈ R and n≠ 0
The derivative of a constant is equal to zero:
�
[�] = 0
��
The derivative of a constant multiplied by a function is
equal to the constant multiplied by the derivative of the
function:
� �
[� × �(�)] = � [�(�)]
�� ��
The derivative of a sum is equal to the sum of derivatives:
� � �
��
[�(�) + �(�)]=�� [�(�)] + �� [�(�)]
The derivative of a difference is equal to the difference of
derivatives:
� � �
��
[�(�) − �(�)]=�� [�(�)] − �� [�(�)]
