Product and Quotient Rule – In this section we will took at differentiating products and quotients of functions. 0000133110 00000 n Product and Quotient Rule – In this section we will took at differentiating products and quotients of functions. Chapter 10 applications of differentiation 451 2 Write the answers. 0000106170 00000 n ��t�"|"��.��d�� @�s�ZG< ���=���`�3����y�x��I�v��8I�,�� ާ�h"ëh"�ߢ,���Ƴ@�Y��߂h���c�0�#�(�\D��g�z����{L`dꞿo�O9�1�c�����qy|t�χdE���� +���c�P��T�,�,߇!H��Lj�s;[����,���=����m��0"�a��(�>��jD3�1�~����Q�=�U��$�Ah��i;5i6��w|ڻxDJ\4{�dq�ŕ).J�v�g�&� ��OЋ�f�8�ْ�}8�5C���*���eBb ,g������*>�櫂�\rj��,H�X�WH��f��r���p��-֬u�$�"D�^��>�-'�n�O�4��iX�^� �.{�����H{�U��p៝��. 0000071317 00000 n 0000110595 00000 n 0000121239 00000 n Differentiate cos³x with respect to x. She understands the challenge of meeting the needs of all learners and wants to help all teachers make their instruction accessible! 0000093422 00000 n 0000059042 00000 n support differentiated teaching and learning in the classroom. 0000105300 00000 n 0000119594 00000 n 0000007712 00000 n London WC1R 4HQ. 0000002977 00000 n Conditions. 0000005921 00000 n Differentiation - terms of the form ax n Equations of tangents and normals Differentiation - normals : C1 Edexcel January 2011 Q11 : ExamSolutions Maths Tutorials - youtube Video = -sin x × 3cos²x 0000109437 00000 n (���%�R����z��x����G��x$��x�2�n�U�X�&Nrh �LK,�Ryᚣʃ �e�[+@��{f@D06�2 ��� k4R�k@�锵D�4ʁ�����cDx�A�Dr�\�w��~�ˆ8�����]�l�b�^f��y�zl��^�ٙ����٪&R�yU6p�a=��8�1)?e������A�O�_�6Y��w�{�]4ٺx���uN��gˢ\%���K���M�o~��v�͓�kWl�jG� ]8?�%���2��h�/�c[[�!�)/ڲ�G�� 0000107957 00000 n 0000048945 00000 n %%EOF �M�̅�1��94�X�>ԥ����a���G�� �w��M�*|4c��ۀ�j)�_��N]0;���nɋ����&�b�tf�+�Gx�:] �f�m_�l�g�s �b��l����lPc�6� 3 0 obj {�N��Ç��Z�Y�N.8vN�F�G�Rî�N�c�26����ݫ�2a�9I�E��@F����/�)Qi7+x���II��WBN�L2��l}r�B�B� %@AW�����urX�Τ�(n�r! 0000060017 00000 n 0000004686 00000 n I hope that you find this website useful! Solution: y = 20x-4 + 9. y’ = d(20x-4 + 9)/dx. stream 2 • We have seen two applications: – signal smoothing – root finding • Today we look – differentation – integration • These will form the basis for solving ODEs Mathematics / Advanced pure / Differentiation, GCSE 9-1 Exam Question Practice (Trigonometry), GCSE 9-1 Exam Question Practice (Vectors), GCSE 9-1 Exam Question Practice (Circle Theorems), A level maths references for university UCAS (updated by strong, middle, weak students), Edexcel A-Level Pure Maths Chapter 7 Trigonometry and modelling. x��ko���{ �~��4w�|��I�\4@z5pr���iY�#�D�z����s(.��� d����y��W�v��}��'/^\����C�|���>�zu�����Э֛n��n^�L^_�I~�xVI��$��M^gMr�gy��KQfu��r����K����z������[Xy'!����g�`E��TI�TV%� �'+���ų��$�5���ų� ��}�&I�> ����\'�!F#�I��j endobj 0000005768 00000 n y’ = d(20x-4)/dx + d(9)/dx. 0000094109 00000 n �ېJL����NyasP�(;YI�f��Ԝa0���!h�������{v��k8��f��߬n�8g���c�jf9V����{�I�ӑC�Lq6��)�:��Q�K��o�����c�t�J���}�s0;W47X��� fЖ� ���.rPA��'�TF������Φ� g��j��VIJ��lޫ�c�N���@~*�&pa��([�6�ɰ.��ZP0��و6t�?���TL`KB�#�N7�{��&�Q�- Created: Jan 20, 2018| Updated: Feb 6, 2020, This carefully selected compilation of exam questions has. endobj 2 • We have seen two applications: – signal smoothing – root finding • Today we look – differentation – integration • These will form the basis for solving ODEs &I����{�o�\}<>� Dr�y���y4�a�1��$��fWU��K4I�zw >�� '�� 5�i����� s = 3t4 • Reduce the old power by one and use this as the new power. ���.Aq�=�9��/��st���l��ԓ;?�9У�I��]��Q5��{I 2��P�?��{e����1-��е�Ò��g�uZ�",{�Y�APm@c��aAm� ��jz���>pv>�g��`�1�8��ؐ�ꅄ6W��a���炦@�N֒�w�]�n����i�f�UJ�� ?-��` �¦���͞ϲ�X���u�S`� �GN^3�ZZ��(M��yx��e~U@J�(�,�:^�����bB/�+�E �_V>�me2Sh)ZxBdQ�N6�BEۊ�����G&WF�)GN�ꈁ�H[�|(Y9y�����ߝT� ;����S@J@�}vt�T�gGȔ"����r�Å��㠀Lw�iR��ٝ�áS=�@�:Y#dC������� �溪� 3'Ā�5lnl^��_�]�`���HYT8����98ٱs�V�, 5Aa��yP����,�e�\/��k�*�+��K����ll����ظ�/((� g������(� ��1� S�=��%���� �d�iF�y ��a�����w8�pj���[�;���b @,��[z�������̖�}�n��|�8eclÆ�'p��7� �E6�\>]�b��U�}Z߀����Z�v��;8�)W� 0000006437 00000 n Solution : f(x) = x - 3 sinx. 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 �7��~�:�� g�h�b�h�����>�c�����������Z/��9��ɡ���g{�G[vĝ��Gȃ�-oPB �"Yb�������)��$�` Find the derivatives of the following functions with respect to corresponding independent variables : Question 1 : Differentiate f(x) = x - 3 sinx. {wp�ȴ���i�5z=�g!��<6{���@�K�M��0���Z�i� � +�4��՜��R�@�%~)�^"V����2��5�ƅ�萉��Ҡ�=ļ5��f��P�z�� 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
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