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Find the derivatives of logarithmic functions:

� � ln 5� � � ln ��

� � 2 ln 3�� � 1� � � ln 1 � 2���

� � ln sin 2�� � � � ln� �

� � ln cos ��� � � ln� � 3� ln� � 1�

� � ln70�� � 24� � 7� � � ln ��

� � �� ln �4� � 1� � � ��

� ln �� � ���

Derivatives of Logarithmic Functions

Student Name: __________________________ Score:

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Answers:

� �� ��� � �� �

��

� �� ����

��! � � � �� �

�"� � ��

� �� � 2 cot 2� � �� � ln ��� 3 � ln ��

� �� � �2� tan �� � �� �

%&� ' �� � � � � %&� � ��

� ' �

� �� ��()� ' �(

*)�! ' �(� ' * � �� � 1

� �� � � +� �(� ' ��

� �� � � �

� �� ' ,-�