0000071770 00000 n She's sharing with us her questioning strategies for differentiating instruction and reaching all learners in the classroom. 0000108108 00000 n 5 0 obj { pays attention to how mathematics is written and attempts to use a similar style in their written work. support differentiated teaching and learning in the classroom. du s = 3t4 • Reduce the old power by one and use this as the new power. It includes six levels: Knowledge Chapter 10 applications of differentiation 451 2 Write the answers. f'(x) = 1 - 3 cos x. 0000032693 00000 n 0000031360 00000 n Find the derivatives of the following functions with respect to corresponding independent variables : Question 1 : Differentiate f(x) = x - 3 sinx. p������ܤF����p�ָh\0�G˃�*:�5��8��g�8a����\����wk�t���F��A� ,�j/W7�ֱ(��Re�{o��W�-�ό^�%x?�I��=$`,Z���1,R���� �T����9{�B��T���p�6�&ʏ�Ըְ��N%K�@]�,a�(Y�vE��V]H9ʌ�όjJf��`��i_�q�9&-���[�_P��T��}�?׃2t_��(M�$%p�ب�֜G%Bw�D�^���� �@�,�^њ��S�x���Q���}B��V�x�n��b�s�%���,a��,��,�س,q*�g)��W�w�2�` D=� {wp�ȴ���i�5z=�g!��<6{���@�K�M��0���Z�i� � +�4��՜��R�@�%~)�^"V����2��5�ƅ�萉��Ҡ�=ļ5��f��P�z�� x�b```b``�b`c`�x� Ȁ �@1v����40���a>��Q9쀃��� �����;*m0�`�#w��6�f�f�?���\Գv��m�8�n ��-�X|��a"q�����*"���;".noQp������ ��(�ps�? <> 0000093422 00000 n 0000031970 00000 n �7��~�:�� g�h�b�h�����>Ž�c�����������Z/��9��ɡ���g{�G[vĝ��Gȃ�-oPB �"Yb�������)��$�` Differentiation c) undefined (both ±∞ are possible) d) Note that 2 − x is negative when x> 2, so the limit is −∞ 0000006073 00000 n v���~3N)�a� ���A�@3C cT��"|n_��eTc�`��1a����KKj��2�D�ie� �0�/��� d�1�:q�B�$ ��� 0000092955 00000 n 0000109172 00000 n endobj endstream endobj 453 0 obj <>/Metadata 49 0 R/Pages 450 0 R/StructTreeRoot 68 0 R/Type/Catalog>> endobj 454 0 obj <>/MediaBox[0 0 595.4 842]/Parent 450 0 R/Resources<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI]>>/Rotate 0/StructParents 0/Tabs/S/Type/Page>> endobj 455 0 obj <>stream Question 9 a) If A x x= −π 2 20 , find the rate of change of A with respect to x. b) If V x x= − 2π 3, find the rate of change of V with respect to x. c) If P at bt= −2, find the rate of change of P with respect to t. d) If 1 W kh h= −6 2 , find the rate of change of W with respect to h. 0000005614 00000 n 0000032737 00000 n @q����鳞0;�9'�t-�T�M���͆rbO��h����^@���kZ�T�s��b+0��ц�9f�SetCj� �`����)ҁ��U���V�VYo�0F�3��m�Y�D?��@g�����gn��k�Ք� b|�et|��PL7�6��;xbD �l�f����;��0���X^��!� g!����ZdGO����;�N��욚�!dD����#&&x�^���l`:zL��y�|���7',�CD��� 0000121239 00000 n 0000030866 00000 n %�쏢 Please explore the links below for the study notes and questions for each subject! Created: Jan 20, 2018| Updated: Feb 6, 2020, This carefully selected compilation of exam questions has. 0000048621 00000 n The most challenging questions from the various top school mathematics preliminary examinations were collected, adapted and compiled topically into these legendary sets of question papers. 9}��7�n`YOrz�!�j����͞խ�2F��c��Ny3��ʂ����S���dP�)t��<1�T Differentiation - terms of the form ax n Equations of tangents and normals Differentiation - normals : C1 Edexcel January 2011 Q11 : ExamSolutions Maths Tutorials - youtube Video %PDF-1.3 stream 0000002977 00000 n &I����{�o�\}<>� Dr�y���y4�a�1��$��fWU��K4I�zw >�� Let u = cos x Differentiate cos³x with respect to x. Tes Global Ltd is It enables the teacher to look at instruction through the lens of challenge. 0000105300 00000 n u��qgU)?�Ag\��b}�^V�Q.�T-v������]*j�'���'����IE�m@�.-�R� ���/x|�^j��`0(�EX. Solution: y = 20x-4 + 9. y’ = d(20x-4 + 9)/dx. 0000002618 00000 n { takes good notes that pay attention to detail but still give a holistic picture. Derivatives of Trig Functions – We’ll give … 0000093956 00000 n registered in England (Company No 02017289) with its registered office at 26 Red Lion 0000059042 00000 n 2 • We have seen two applications: – signal smoothing – root finding • Today we look – differentation – integration • These will form the basis for solving ODEs x��Y�n�F}7��#YT��% |M44�S�Z�-�6�ڒR��3�rI��S�x�9;{���4=y��ݔ�m����d�-��"�>=]o�뇿�W����ky{W�ۻu5���g�������ypus|Ă�� K✧���>�������?> DIFFERENTIATION PRACTICE QUESTIONS WITH ANSWERS. MATH 221 FIRST SEMESTER CALCULUS fall 2009 Typeset:June 8, 2010 1 dx      dx       du, =  -sin x × 3u² 0000119594 00000 n d���uU�L�l*���2�±�U�غ�x%���&�VN���T|�' ���Pj��lŨ�؇��u$���K�XJ�bKPd�gө&���K�3�\7=/���8���� �~������K}Gj7qW�uG�#O�Хsgb 3�o�ڃl�]��z�]�"Q�we�.7����ٺ�hG%��&��i�w��i �q(�k�E�u���-)��]�d�̟��R�=���gGF{� Differentiation of a simple power multiplied by a constant To differentiate s = atn where a is a constant. 0000109215 00000 n )�kȔ \! A javelin is thrown so that its height, h metres, above the ground is given by the rule: h(t) = 20t-5t2 + 2, where t represents time in seconds. 0000059369 00000 n endstream endobj 3691 0 obj<>/Size 3631/Type/XRef>>stream therefore y = u³, dy   =  3u² %PDF-1.5 du  =  -sin x 461 0 obj <>/Filter/FlateDecode/ID[<2E4C56239E86E34FBA67A222F313302C>]/Index[452 32]/Info 451 0 R/Length 60/Prev 411030/Root 453 0 R/Size 484/Type/XRef/W[1 2 1]>>stream 0000005921 00000 n ... (12) Differentiation.pdf (13) Integration.pdf (14) Kinematics.pdf (1) Simultaneous, Quadrilaterals and Inequalities (Ans).pdf (2) Surds and Indices (Ans).pdf -- If you like this resource, then please rate it and/or leave a comment. 4 0 obj Differentiate cos³x with respect to x. 0000049544 00000 n 0000105554 00000 n 0000133404 00000 n 0000108550 00000 n dy = 3u² du du = -sin x dx dy = du × dy dx dx du = -sin x × 3u² = -sin x × 3cos²x = -3cos²x sin x. Differentiation of exponential functions Differentiation c) undefined (both ±∞ are possible) d) Note that 2 − x is negative when x> 2, so the limit is −∞ h�bbd``b`� $k@��`��ׂ$�AbK���I �H02Y��&�3�0 � ���~,-�0`@$���B���D���Έ��s��� C��vOwDv�#�2�j�|�x���|����?|���ƭ����VGI�XB���w_�~w������_����o_>�|�)���Şo�//1�|��x��b��jש�^�ݺ�t|/�VB���q��V���v�=�K��߳�i��{���=��c��/�Ψ=�ޟ�:�]���o�Cb��r�����6o�¯�������/���N�{2��Ͼ��d�� )�{��L�\n�أ��}m�'Z��Yn��x7�ޛ�1oiN}s�Ѿ0�ҡ��L�v�{�~�\ Xf��n�����$�{4�X�=��N"�n*��˯�-�=ի=6�=���-�S�v'���}c����x)FeO�n�l�d%\�vo����$s�Z'��F1BH�1o�Yk�h�����Z��Onپ2�[���� ��~x���wk�>�hOXHB����_?|����~v��ԧ ��dS�}l�t� ���,w�����{�u���1Nu�����&�1率�Z���6�n/:8�9av�R�u�M�r`TXDz�ct�e������ٴ8� ��S�B��|�����9��r������W�c���a�MH�%��=����8ߘ��">���\��Ύ��3 �z �L��� ��C]��ͻ��t��ȕLJ�xl™Mƅ�%�����ĥ;{&��&sh~��s����)��t��� ۰Q��7�۸s~�SOupj{����K���\P��Oi6�ڰ�N @�K �������K���/��f��6?�� ېV��n,���=Ǧ�w����r��fb&�XaT���s �R�ٔ�_�mAsX(;[ﹸ*�Мc����l�T ޤ�G}nw�z�������b��|��4[w ���T�u��;%��� ��kX�l�f�+%M��eL>����A�?ϰ�f���%@r�����/��.�5J��h�L��Zߌ�

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