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Algebra Review (ACT) 3. <>/Font<>>>/BBox[ 0 0 83.943 37.009] /Matrix[ 0.85772 0 0 1.9455 0 0] /Filter/FlateDecode/Length 274>> -When we multiply, we add exponenxx xa b ab⋅= + ts: -When we divide, we subtract exponents: a ab b x x x = −, ≠0-When we raise powers, we multiply: ( ) xxa abb = ⋅ 2. ����H;��֚���QƝ��Vm��3�����7��ΪB�!�+�g;�uOf$J��=��2�����$��� 36 6. absinC Trapezium Area = 1 2 (a +b)h Sector Area = 1 2 r2θ Arc length = rθ Cylinder Volume = !r2h Curved surface area = 2!rh Cone Volume = 1 3!r2h Curved surface area = !rl where l = slant height Sphere Volume = 4 3!r3 Surface area = 4!r2 L3–CALCF 4 .ln ab lna lnb.ln lna lnb == == =+ =− Average Value If the function f(x) is continuous on [a, b] and the first derivative exist on the interval (a, b), then there exists a number x = c on (a, b) such that 1 = () is the average value b a fc f xdx ba fc −−−− ∫∫∫∫ The Fundamental Theorem of Calculus () where '( ) ( ) b a fxdx Fb Fa Fx fx =− ==== ∫∫∫ 2nd Fundamental Theorem of Calculus # ∫ A. cos. 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AP Calculus AB Formulas & Justifications. �C�h�^5�E�L!6Rf��d&���e�� W ���I���?�$Fǂ�U�-�(P�ʂ Zd�0v�:�=|X��K�!�f�5&M�Q�R��h�a���O����|��{���HJI�[d2)�f�9����j�#x"m(h�m��f��d�-Y#w6�#%�-��6:��>'$7� '1����}��g������i�N��Ӈ����i'J�t��er�n[�Ƽ�Oo� %u��z����s:4^��i�}�琝7��t��װ,��@AE�}d�P�j��*c�7U��6U���;�(y�-����Hyjd�G�S����R���>�/��!5=�kt�1O��(��l��M{�Ġ[�'MU�qEى��27^�#�����k,�x��L�V�ƶ*J�FoV�ƌ� �hJϯ��}��+� calculus review (ab) notes Here are the notes that you will need for the AP CALCULUS exam. <> ¨¸ ©¹ _____ Absolute value: 0 0 x if x x x if x ­ t ® ¯ _____ Definition of the derivative: 0 ( ) lim h f x h f x fx o h c endobj AP Calculus AB: Assignment Sheet Chapter 2: Differentiation Date SECTION / TOPIC ASSIGNMENT Number A B of problems 9/29 2.2 Basic Differentiation Rules and p143 #1-23 odd, 35, 39, 41, 47, 49, 51, 55, 30 Tu Rates of Change 61, 63, 65, 66, 68, 95, 103, - Power Rule, Sin x, Cos x, and e^x AP#114-117 AP Calculus AB/BC Formula and Concept Cheat Sheet Limit of a Continuous Function If f(x) is a continuous function for all real numbers, then ) lim → ( )= ( Limits of Rational Functions A. (xn) = nxn−1 dx d 17. dx du dx dy dx dy = × Chain Rule 2. fg fg gf dx d ( ) = ′+ ′ 3. Formulas for AP Statistics I. Descriptive Statistics 1 i i x xx nn ∑ =∑= ( ) ( )2 1 2 1 1 i xi xx s xx n n ∑− = ∑− = − − y a bxˆ= + y a bx= + 1 1 ii xy xx y y r n ss −− = ∑− y x s br s = II. Divide [ab,] into n subintervals of width ∆x and choose * x i from each interval. <>/XObject<>/ExtGState<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> AP Calculus students need to understand this theorem using a variety of approaches and problem-solving techniques. B. cos. A. 1. Differentiation rules 3. endobj Required. So it’s really important to do well on the test if you want a jump start on your college career. 1+tan θ=sec. Virtual TBA. endobj Video Tutorials. Fundamental Theorem of Calculus If f(x) is a rational function given by ( )= ( )),such that ( ) and ( have no common factors, and c … <> ! Traditional Calculus Reference Sheets. endobj Java Quick Reference (.pdf/378.99 KB) Permitted. in ab, . 2. θ. A high score (4-5) typically qualifies you to receive college credit or equivalency for one full semester of calculus. ab, then there exist numbers c and d so that, 1.,acd b , 2. fc is the abs. A. cos. B +sin. on [ab,]. 5. cos(−θ) =cosθ. Year at a Glance. 14 0 obj 10 0 obj 1. :f㵾ad�ve`7n����q����+[��� Z�������V��Hr��7�����Q��������I�̣ESyC��V��.��e��*w�����~�L��� H藨l�ल|������&��nԥP/��ecj�B��?$`w�GD���-�K1[/~��/0�3�~�kꢦ�ZE9��_��C����N�Y �]��V����q)����>8!Ii��D)�3t�}]���0�� The AP Calculus AB exam is a 3 hour and 15 minute standardized test. Anti-Derivative : An anti-derivative of f x( ) is a function, Fx( ), such that F x f x′( )= ( ). <> 13. θ. θ θ θ cot 1 cos sin <> Central Bucks High School East. 1. sin θ+cos. Summary of Derivative Techniques 3. For a quick review check out the following helpful articles. h�bbd```b``6�� �q�d��LK�ls0� First and foremost, you must be you must know arithmetic, algebra, and trigonometry inside-out. x�}Q�N1�#���$v"�JT�Ub嶊 AjYx}|p�V�#Q���� sk���j����v1 ��R��� s�p�Aj��8��æwv���/10�_��T@��O��at�/x��}��G��ͅ8c����/�K���iyS$]W]Cn�/�M0��4,UF��;�L�d�\�e��H�d4ѹH��L�����yB $� w��?_t�7ic� ���*j�'DĆ���I��� u%[��x�D���]W�:�����q�NU���\�,x����* 鐯w]�pL������/��ω���]��w�l[Z2&TV�!��]�WYF1��r���z�0Oa�h.���FK1�픔��E����LDI˪f�Q��[���r$nB�܄�SRr�i�Q��3�j2`���(1� ����c� LO������R�ޚ����Hj�}��I$�M$�h7���1�*#�����֩� �)�,�3j�n�T���zj�0��`18�K��H���h7>�h��lL�)>s�AG�0�3 �}� >���6��Ha�Ϧ���3��}����4� 2_��|�28T�|�/qC�i0��;췷�3��،��d{�F���s]�w-X}ʃ6�rM�J{������v��"����`���b���o�����ȥ_� X:�|���הN���-HA��M��g�Z@k�%.Q �ۏ��� d�\֜О�-ؾ! Our Textbook as a PDF file . AB Calculus Facts and Formulae 2. Read the Course Syllabus . 21 0 obj Elaine Cheong’s Calc AB Study Guide. endobj stream endobj stream <>/Font<>>>/BBox[ 0 0 77.947 38.009] /Matrix[ 0.9237 0 0 1.8943 0 0] /Filter/FlateDecode/Length 288>> Trigonometric Formulas . Easily printable. Integrals 5. �#������(d˸)���JWJ(hIMު�>�|�S= A. cos. B −sin. 10. cos(A − B) =cos. 11. sin2θ=2sinθcosθ. A. AP Calc AB; Welcome to AP Calculus AB! endobj Applications of Differentiation 4. <> Here you will find the following in this order: 1. Recommended for students typing responses. endobj I have my students make formula sheet(s) for use during the AP Exam Review Period. Yellow Formula Review Sheet (PDF 81 KB) 1997 AB Exam and FRQs key (PDF 284 KB) Yet another Practice Exam (PDF 419 KB) Sample Exam V (PDF 293 KB) Sample Exam V Key (PDF 424 KB) Sample Exam IV Key (PDF 164 KB) Sample Exam IV (PDF 164 KB) NEED HELP DOWNLOADING: Calculus YouTube links by chapter & section.docx . endobj 5 0 obj endobj AP CALCULUS AB and BC . Before 1997, the AP Calculus questions regarding the FTC considered only a limited number of variations. Home Work. endobj This 20 page PDF Calculus guide is a great study resource. AP Calculus AB Cram Sheet Definition of the Derivative Function: f ' (x) = limh 0 ccccccccccccccccf+x h/ccccccccccccccc f+x/ h Definition of Derivative at a Point: f ' (a) = limh 0 ccccccccccccccccf+a h/ cccccccccccccf+a/ h (note: the first definition results in a function, the … Major formulas you should have memorized include those for limits, differentiation, and integration, as well as the fundamental theorems. Course Overview. ADVANCED PLACEMENT PHYSICS C TABLE OF INFORMATION CONSTANTS AND CONVERSION FACTORS Proton mass, 1.67 10 kg 27 m p Neutron mass, 1.67 10 kg 27 m n Electron mass, 9.11 10 kg 31 m e Avogadro’s number, 23 1 N 0 6.02 10 mol Universal gas constant, R 8.31 J (mol K) < Boltzmann’s constant, 1.38 10 J K 23 k B Electron charge magnitude, e 1.60 10 C 19 ��9?z0�'�S.�(�5 ��`�۵b͌�����(wa7`�+u�VW6Ɖ5�Ai���=������j�L멋�!�����'.�h��E����#�*�R��hcAh��ێ]4Z�"ҥ_&�R1|z@Sӛ��T1|z��Q��^��u�{��dܔ�/� Calculus Formula Sheets.pdf . endstream h�b```f`` max. in ab, , 3. fd is the abs. Calculus I Formulas MAC 2311 1. A. sin. endobj Find all critical points of fx in ab, . Fundamental Theorem of Calculus: ' x a d F xftdtfx dx where f t is a continuous function on [a, x]. <> In general, any formula you use regularly in class is a good one to memorize. %PDF-1.5 If f(x) is a rational function given by ( )= ( ) ( )),such that ( ) and ( have no common factors, and c is a real Then ( ) (*) 1 lim i b n a n i f x dx f x x →∞ = ∫ =∑ ∆. Basic Properties and Formulas If fx( ) and gx( ) are differentiable functions (the derivative exists), c and n are any real numbers, 1. After about 20 hours, it is done! <> AP Calculus AB Reference Sheets. AP CAL AB Reference Sheet.pdf <> 7. sin(A + B) =sin. AP Calculus Formula List Math by Mr. Mueller Page 6 of 6 ( ) ( ) ( ) ( ) ( ) 2 2 2 Polar Coordinates and Graphs: For : cos , sin , , tan cos ' sin cos 'sin Slope of a polar curve: sin ' cos sin 'cos Area inside a polar curve y r f x r y r r x y x dy dy d r rf f dx dx d f f r r Calculator; Computer Science A. OneNote will be used for all course materials, including daily agendas, notes, worksheets, assignments, and answer keys. Techniques of Integration 4. To find these, simply Google "AP Calculus AB formula sheet" and look at your options. 19 0 obj 2. Interactive Development Environment (IDE) or compiler; Statistics . endobj 9. cos(A + B) =cos. 2. 4 0 obj Final Notes . AP Calculus AB/BC Formula and Concept Cheat Sheet Limit of a Continuous Function If f(x) is a continuous function for all real numbers, then ) lim Limits of Rational Functions A. endstream endobj startxref Finding Absolute Extrema To find the absolute extrema of the continuous 1 Limits at Infinity: To find lim ( ) x. f x. think Top Heavy ⇒limit is ±∞ Bottom Heavy ⇒limit is 0 Equal ⇒limit is ratio of coefficients. Print out the DERIVATIVE RULES notes ..... this will become your new BEST FRIEND !!!! additional resources, including a PowerPoint version, a Word document in color, as well as AP Calculus BC topics on his website. Calculus Honors Home Work.docx. min. b a f xdx Fb Fa, where F(x) is any antiderivative of f(x). 13 0 obj 3. endobj 1 0 obj %%EOF Keyboarding Tip Sheet for 2020 AP Calculus Exams (.pdf/625 KB) Permitted. 12 0 obj 6 0 obj 2. θ=1. <> Riemann Sums: 11 nn ii ii ca c a 111 nnn ii i i iii ab a b 1 lim ( ) b n n a i f xdx f a i x x n b a x 1 1 n i n 1 (1) Trigonometric Identities Once you have mastered those fundamental topics of mathematics, you can then build your expertise in calculus. %PDF-1.6 %���� "Y���#0i�%Q�S��E�H6�YH2&���͑`�� RQH� �蒏`]�4!�30��` �jW Arithmetic Review 2. 15 0 obj 98 0 obj <> endobj endstream endobj 18 0 obj 12. endobj Calculus Honors Year at a Glance.docx Calculus AB Year at a Glance.docx . a`e`�� Ā B,@Q�F� �&py� U2�7Ȝq�ˢ�������ή���U{�J�(���s�J�1?܂��l܂���n'8� CFGGG��`@�@Qq. A. sin. Limits and Derivatives 2. AB Calculus Facts and Formulae.pdf: File Size: 2865 kb: File Type: pdf: Download File. 8. x ( ) ( ) 2 32 2 6 6. I have been teaching AP Calculus BC for 25 years. It is 2 pages 81/2" x 11" in color in .pdf format. [ 18 0 R] 137 0 obj <>stream 3 1 3 9. x x x − − − − = = − 1 ( ) 1. 8. sin(A−B) =sin AcosB −sin Bcos. in [ab,]. 8 0 obj B. <> Classics Summary. B. <> endobj Calculus AB Calculus BC. Applications of Integration Professor: Dr. Mohammad Shakil C0-Author: Jeongmin Correa Mathematics Department 4. θ. sin(−θ) =−sinθ. <> Fundamental Theorem of Calculus: () ()v u F x f t dt=∫, then F x f v v f u u′ ′ ′()= −() b () a ∫ f x dx F b F a= −, when F is antiderivative Definition of Continuity: lim () x c f x f c → = If and Only If f is continuous at x = c. Average Rate of Change : Slope of Secant Line (slope between starting and ending point). 2 Limits with Infinity (at vertical asymptotes): When finding a one-sided limit at a vertical asymptote, the answer is either ±∞. 6. tan(−θ) =−tanθ. 11 0 obj <> endobj I also decided to create one myself using after taking a Photoshop class. endobj 17 0 obj 20 0 obj stream 2 ( ) g gf fg g f dx d ′− ′ = 4. f (g(x)) f (g(x))g (x) dx d = ′ ′ 5. x x dx d (sin ) = cos 6. x x dx d (cos ) = −sin 7. x x dx d (tan ) = sec2 8. x x dx d (cot ) = −csc2 9. x x x dx d (sec ) = sec tan 10. x x x dx d (csc ) = −csc cot 11. ex ex dx d ( ) = 12. 2. θ. Calculus AB Home Work.docx . ... [ab,], 3. fd( ) is the abs. n���I0���y�mdW����b=����;���^�`���"�z� ��z*�A�|�U�ȴZ�&m�%���s.�u�����Fm��\>��>�1I0���s�~���Pa:���v(&��v�s? 0 5�J�%)�"]Xel�S ) AP CALCULUS FORMULA LIST (Unit 4) Average rate of change of ( ) on [ , ] = f b f a f x a b b a _____ Intermediate Value Theorem: If f is continuous on [a, b] and k is any number between f (a) and f (b), then there is at least one number c between a and b such that f (c) = k. endobj x���Ak�0����Cɒ�ƠcMa��Vv*�l����?�MF�������dB͹��˻j�c�ӧw[��\��$B��4g?��I�û�w� 37j(̨��. 16 0 obj !NY�]��`���>��'ĕ��03m =R\�&��'0� #R�=�4Fꂍb#c�G0�Q�`C����mÖ��5 X�������K�&0�g3��>y3�ԃ.�7��c-pj�M������ഐ��h{�p�}S�p�L��]�G��D���aI�U+*6��>���Y���mH(D��5��c�c�=�!�l���r��O���x��� ��9����8�eA�O�m�>d�����l���N|���.l���W��݀�R�C?��PRO^��|��C���QN�ި���؆p ����,��ئq|�5$��ñd�l[��%����)g\��������~�p�6� x��[[o\�~����vQ�_�$�,ǁMc�/VP��U���B�U�������.�#��+if8��7$͎f�}w|v��5?��^�>e����H&;�>����~:�O�w�����q�A�V�+;����hmA{���JozL��>^}��:�qyý̹�x���)c#�ɑ�,f#���\��餜�헳���>�;a�ޢy�wGzv^����b���̑jב^q���s�8=���%w��׋�ͮ���z���݊�]w�oYs �Y���������߰^� If you like this product, you might enjoy my Calculus Target Practice. 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