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Fórmulas de Derivadas �) � = � �� = � � ) � = �� �� = �� . �� ��) � = ��� � �� = ��. �� � � �) � = �. �� = � ��) � = �� �� �� = −�� �� . ���� ��)� = �� � � �� = ��. ��� � �) � = � � �� = �. �. ��� ��) � = ��� = �� �� − �� ) �� = �� � = �� �� + �� ) ��) � = ��� � �� = ��. ���� � �) � = � + � + �� = �� + �� + � �!) � = �� � = �� �� + �� ) �� = ��� = �� �� − �� ) ��) � = ����� � �� = ��. �� ���� � ") � = � − � − �� = �� − �� − � ��) � = ��� = � − �� � + �� �� = ���� = ��� + �� )� �") � = ��� � �� = ��. ��� � . ��� � ) � = �. � �� = �. �� + �. �′ ��) � = ����� = � + �� � − �� �� = −�� ���� = − ��� − �� )� � ) � = �� ��� � �� = ��. �� ��� � . ����� � �) � = �� �� = − �. � � �� ��) � = ��� �� = ��� . ��� ��) � = �� �� = ��. �� �) � = �� �� = �. � � − �. ���� ��) � = �� ��� �� = �� ��� . ����� ��) � = �$� �� �� = ��. �. ���� + ��. $� �. �′ !) � = � �� = � ��) � = �. �� �� = �. �. ����. �′ �!) � = $� � �� = �′� ��) � = $� �� = � �") � = �� � �� = ��. �� � ��) � = %� �� = ��. %�. $� % ��) � = % �� = % . $� % � ) � = �� � �� = −��. �� � ��) � = $��% � �� = ��. $� % ��) � = �� �� = �� ��) � = �� � �� = ��. ��� � ��) � = %&� �� � �� = �√� − �� . �′ ��) � = �� �� = − �� ��) � = ���� � �� = −��. �� ��� � ��) � = %&��� � �� = −�√� − �� . �′ ��) � = �� �� = ��� �!) � = �� � �� = ��. �� � . �� � ��) � = %&��� � �� = �� + �� . �′ �") � = ���� �� = − �� ��� ��) � = �� �� � �� = −��. �� �� �. ���� � �") � = %&� �� � �� = ��. √�� − � . �′ Fórmulas de Trigonometria �� �� = � �� �� = ��� ���� = ��� ���� = �� �� ��� + �� � = � ��� = � + ��� �� ��� = � + ����� ��� − ��� = � �� = �� �� �� �− ) = − �� �� �− ) = ()* �� �− ) = −�� �� ��� − ����� = � �� �� + �) = �� � . �� � + �� � . �� � �� �� + �) = �� � . �� � − �� � . �� � �� �� + �) = �� � + �� �� − �� � . �� � ���� − �) = �� � . �� � − �� � . �� � �� �� − �) = �� � . �� � + �� � . �� � �� �� − �) = �� � − �� �� + �� � . �� � �� � . �� � = �� + �� �� + �) + �� �� − �), ()* � . �� � = �� + �� �� + �) − �� �� − �), �� � . �� � = �� +�� �� + �) + �� �� − �), �� � . �� � = �� +()* �� − �) − ()* �� + �), �� �� = � �� � . �� � �� �� = �� � � − ��� � �� �� = � − � ��� � �� �� = � �� � � − � �� �� = � �� �� − ��� � ��� � = � − �� ��� �� � � = � + �� ��� �� �� = � − �� � �� � ∴ �� �� + �� � . �� ��. = /� − �� �� .�� ��. = /� + �� �� �� 01� − 2 = ()* �� 01� + 2 = ()* �� 3�1� − 4 = −()* �� 3�1� + 4 = −()* �� 3�1� − 4 = − �� �� 3�1� + 4 = �� �� ��1 − ) = − �� �� ��1 − ) = �� $� � = � $� � = $� + $� � $� � = $� − $� � $� � = �. $� $� � = � $� � = $��� � $��% 5 = $� 5$� % $��% � = � $�� �� = � $��% � = $��% + $��% � $��% % = � � = $��% significa %� = $��% � = $��% − $��% � $�� ��� = � $�� = $���� $��% & = &. $��% DIEGO Fórmulas de Integrais �) 6 7 = + � ��) 6 �� �� . ���� 7 = −�� �� + � ��) 6 �� ��� � 7� = −���� � + � ��) 6 �� � 7� = 89| �� � + �� �| + � �) 6 % 7 = % + � ��) 6 � 7 = � + � �!) 6 �� � . �� � 7� = �� � + � ��) 6 �� �� � 7� = 89|�� �� � − ���� �| + � �) 6 % � 7 = % �;�� + � + � ��) 6 7 = 89| | + � ��) 6 �� �� �. ���� � 7� = −�� �� � + � �!) 6 7�%� + �� = �% <=(>? �% + � �) 6 �� 7 = −�� + � ��) 6 % @� ) 7 = % 6 @� ) 7 ��) 6 �� 7� = �� + � ��) 6 7�%� − �� = ��% 89 A� + %� − %A + � ") 6 �� 7 = �� + � ��) 6 �� 7� = ��;�� + � + � ��) 6 7�� = 89|�| + � ��) 6 7��√�� − %� = �% *B(�� �% + � ) 6 ��� 7 = �� + � �") 6 �� � 7� = −�� � + � ��) 6 � 7� = �� − 6 � 7� ��) 6 7�√%� − �� = *B9�� �% + � �) 6 �� ��� 7 = −���� + � � ) 6 �� � 7� = �� � + � ��) 6 %� 7� = %�89 % + � ��) 6 7�√�� − %� = 89 .� + C�� − %�. + � �) 6 �� . �� 7 = �� + � ��) 6 ��� � 7� = �� � + � �") 6 �� � 7� = − 89|�� �| + � ��) 6 $� � 7� = � $� � − � + � !) 6+@�� ) + @�� ) + ⋯ + @�� ), 7 = 6 @�� ) 7 + 6 @�� ) 7 + ⋯ + @�� ) 7 � ) 6 ���� � 7� = 89| �� �| + � 8EF∆ →� @� + ∆ ) − @� )∆ 6 @� )7 5% = I�5) − I�%) J = 6 C� + @�� )� 7 5 % KJ = �1 6 @� )C� + @�� )� 7 5 % C%� − � → = % �� L C%� + � → = % �� L C � − %� → = % �� L K = 6 @� ) 7 5% M = 1 6 @� )� 7 5 % M = �1 6 @� ) 7 5 % ����) �) 6 ���� ���� 7� �� 6 ������ �� ���� 7� → � = � → 6 �� 7� �) 6 ���� ���� 7� → � � � = � → 6 �� 7� �) 6 ���� 7� �� 6 �� ���� 7� → � = � → 6 � 7� �) N� )O� ) ��7� N� ) ≤ O� ) → ÷ �. �) N� )O� ) ��7� O� ) > S� ) � O� �) ≠ O� �) → 6 N� )O� ) = 6 K%� + 5� + U%� + 5� + ⋯ + V%� + 5� 7 �. �) N� )O� ) ��7� O� ) > S� ) � O� ) ^ � → 6 N� )� − �)� + �)���) = 6 K� − �) + U� + �)� + X� + �)� 7 �. �) N� )O� ) ��7� O� ) > S� ) � O� ) = � + Y + Z → 6 N� )O� ) = 6 K + U� ) + X � + Y + Z 7 �. �) N� )O� ) ��7� O� ) > S� ) � O� ) ^ � � O� ) = � + Y + Z → 6 N� )O� ) = 6 K + U� ) + X � + Y + Z + [� ) + \ � + Y + Z 7 6 ���� 7� = − �� �� + ����)�� � + � 6 �� �� 7� = �� �� + �� ��) �� � + � 6 ���� 7� = �� ���� + $�|�� �| + � 6 ����� 7� = − �� ����� − $�| �� �| + � 6 ���� 7� = �� �� � �� � + �� $�| �� � + �� �| + � 6 �� ���� 7� = − �� � � � ��� � + �� $�|� � � − ��� �| + � 6 ���� 7� = − �� ������ �� � + � − �� 6 ������ 7� 6 �� �� 7� = �� �� ���� �� � + � − �� 6 �� ���� 7� 6 ���� 7� = �� − � ������ − 6 ������ 7� 6 ����� 7� = −�� − � ������� − 6 ������� 7� 6 ���� 7� = �� − � �� � ������ + � − �� − � 6 ������ 7� 6 � ��� 7� = −�� − � ��� � � ����� + � − �� − � 6 � ����� 7� 6 ���� �� �� 7� = − ������ �� �;��� + � + � − �� + � 6 ������ �� �� 7� 6 ��%� 7� = �%� �%� − �)�%� + � 6 �� $� � 7� = $� |$� �| + � 6 7�√�%� − �� = %&��� 0% − �% 2 + � 6 �� �%� 7� = �% �� �%� − �% 6 ���� �%� 7� 6 7��√%� − �� = − �% $� ]% + √% � − ��� ] + � 6 7���√%� − �� = − �%�� C%� − �� + � Dist. P1 P2 7�N�, N�) = C� � − �)� + ��� − ��)� P. médio _ 3 � + �� , �� + ��� 4 Coeficiente angular m � = � − �� − � $`�@� )→� �� @� )@� ) = � $`�@� )→� � − �� @� )@� ) = � $`� →� �� + )� a = � $`� →b 3� + � 4 = � $`�@� )→� % @� ) − �@� ) = $� % � = @�� ). � − �) + @� �) M = c� K = M� DIEGO
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