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First and foremost, you must be you must know arithmetic, algebra, and trigonometry inside-out. 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 6 0 obj 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 … !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$��ñd�l[��%����)g\��������~�p�6� endstream %���� Keyboarding Tip Sheet for 2020 AP Calculus Exams (.pdf/625 KB) Permitted. 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AP Calculus AB: Assignment Sheet Chapter 2: Differentiation Date SECTION / TOPIC ASSIGNMENT Number A B of problems 9/29 2.2 Basic Differentiation Rules and p143 #1-23 odd, 35, 39, 41, 47, 49, 51, 55, 30 Tu Rates of Change 61, 63, 65, 66, 68, 95, 103, - Power Rule, Sin x, Cos x, and e^x AP#114-117 Then ( ) (*) 1 lim i b n a n i f x dx f x x →∞ = ∫ =∑ ∆. endobj endobj Yellow Formula Review Sheet (PDF 81 KB) 1997 AB Exam and FRQs key (PDF 284 KB) Yet another Practice Exam (PDF 419 KB) Sample Exam V (PDF 293 KB) Sample Exam V Key (PDF 424 KB) Sample Exam IV Key (PDF 164 KB) Sample Exam IV (PDF 164 KB) NEED HELP DOWNLOADING: <> Year at a Glance. endobj 5 0 obj Integrals 5. Here you will find the following in this order: 1. 11. sin2θ=2sinθcosθ. A high score (4-5) typically qualifies you to receive college credit or equivalency for one full semester of calculus. stream 98 0 obj <> endobj �C�h�^5�E�L!6Rf��d&���e�� W ���I���?�$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:��>'$7� '1����}��g������i�N��Ӈ����i'J�t��er�n[�Ƽ�Oo� %u��z����s:4^��i�}�琝7��t��װ,��@AE�}d�P�j��*c�7U��6U���;�(y�-����Hyjd�G�S����R���>�/��!5=�kt�1O��(��l��M{�Ġ[�'MU�qEى��27^�#�����k,�x��L�V�ƶ*J�FoV�ƌ� �hJϯ��}��+� 2 Limits with Infinity (at vertical asymptotes): When finding a one-sided limit at a vertical asymptote, the answer is either ±∞. h�bbd```b``6�� �q�d��LK�ls0� <> Major formulas you should have memorized include those for limits, differentiation, and integration, as well as the fundamental theorems. endobj I have my students make formula sheet(s) for use during the AP Exam Review Period. Trigonometric Identities Once you have mastered those fundamental topics of mathematics, you can then build your expertise in calculus. 16 0 obj Classics Summary. AB Calculus Facts and Formulae 2. w��?_t�7ic� ���*j�'DĆ���I��� u%[��x�D���]W�:�����q�NU���\�,x����* 鐯w]�pL������/��ω���]��w�l[Z2&TV�!��]�WYF1��r���z�0Oa�h.���FK1�픔��E����LDI˪f�Q��[���r$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! 9. cos(A + B) =cos. Final Notes . Arithmetic Review 2. If f(x) is a rational function given by ( )= ( ) ( )),such that ( ) and ( have no common factors, and c is a real Interactive Development Environment (IDE) or compiler; Statistics . 2. <> <>/Font<>>>/BBox[ 0 0 83.943 37.009] /Matrix[ 0.85772 0 0 1.9455 0 0] /Filter/FlateDecode/Length 274>> … Recommended for students typing responses. This 20 page PDF Calculus guide is a great study resource. <> ... [ab,], 3. fd( ) is the abs. 5�J�%)�"]Xel�S ) 11 0 obj Applications of Differentiation 4. 8. sin(A−B) =sin AcosB −sin Bcos. <> ab, then there exist numbers c and d so that, 1.,acd b , 2. fc is the abs. a`e`�� Ā B,@Q�F� �&py� U2�7Ȝq�ˢ�������ή���U{�J�(���s�J�1?܂��l܂���n'8� CFGGG��`@�@Qq. In general, any formula you use regularly in class is a good one to memorize. OneNote will be used for all course materials, including daily agendas, notes, worksheets, assignments, and answer keys. Traditional 17 0 obj [ 18 0 R] 6. tan(−θ) =−tanθ. in ab, . 21 0 obj 3 1 3 9. x x x − − − − = = − 1 ( ) 1. ! 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. .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 # ∫ Calculator; Computer Science A. endobj 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 $� 36 6. Anti-Derivative : An anti-derivative of f x( ) is a function, Fx( ), such that F x f x′( )= ( ). 1 1 5 5 25. x x x −= = − ⋅− − ( ) ( ) ( ) 2 8 4 22 8. A. sin. 14 0 obj 9 0 obj <>/XObject<>/ExtGState<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> %PDF-1.5 Calculus AB Calculus BC. 18 0 obj 13. θ. θ θ θ cot 1 cos sin 2 0 obj endobj Calculus AB Home Work.docx . Java Quick Reference (.pdf/378.99 KB) Permitted. The AP Calculus AB exam is a 3 hour and 15 minute standardized test. 1. sin θ+cos. So it’s really important to do well on the test if you want a jump start on your college career. endobj B. For a quick review check out the following helpful articles. h�b```f`` endobj <> 7 0 obj AP CALCULUS AB and BC . endobj ¨¸ ©¹ _____ Absolute value: 0 0 x if x x x if x ­ t ® ¯ _____ Definition of the derivative: 0 ( ) lim h f x h f x fx o h c Click here to learn more about the format of the exam: What is the Format of the AP Calculus AB Test?. endobj 19 0 obj x��[[o\�~����vQ�_�$�,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���������߰^� AB Calculus Facts and Formulae.pdf: File Size: 2865 kb: File Type: pdf: Download File. 1. Central Bucks High School East. endobj 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). 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. Required. ��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�/� b a f xdx Fb Fa, where F(x) is any antiderivative of f(x). Finding Absolute Extrema To find the absolute extrema of the continuous Algebra Review (ACT) 3. endobj <> Techniques of Integration 4. 120 0 obj <>/Filter/FlateDecode/ID[<9871803F499FAA0724CEC8496A23EFBB><8A1745348C49E64EA89B685282911FC3>]/Index[98 40]/Info 97 0 R/Length 108/Prev 270482/Root 99 0 R/Size 138/Type/XRef/W[1 3 1]>>stream B. cos. A. Print out the DERIVATIVE RULES notes ..... this will become your new BEST FRIEND !!!! AP Calculus AB Formulas & Justifications. -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. Includes formulas … Trigonometric Formulas . Finding Absolute Extrema To find the absolute extrema of the continuous function fx on the interval ab, use the following process. endobj endobj 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 Differentiation rules 3. 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. Our Textbook as a PDF file . Basic Properties and Formulas If fx( ) and gx( ) are differentiable functions (the derivative exists), c and n are any real numbers, 1. Calculus Honors Home Work.docx. 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. Home Work. Easily printable. A. cos. B +sin. Calculus I Formulas MAC 2311 1. endobj 137 0 obj <>stream It is 2 pages 81/2" x 11" in color in .pdf format. <> 0 I have been teaching AP Calculus BC for 25 years. stream 1. 2. Calculus Reference Sheets. A. sin. min. Divide [ab,] into n subintervals of width ∆x and choose * x i from each interval. 1+cot θ=csc. Course Overview. <> AP CAL AB Reference Sheet.pdf Applications of Integration Professor: Dr. Mohammad Shakil C0-Author: Jeongmin Correa Mathematics Department <> endobj 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 Summary of Derivative Techniques 3. <> %%EOF Calculus YouTube links by chapter & section.docx . 12. 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. B. <>/Font<>>>/BBox[ 0 0 77.947 38.009] /Matrix[ 0.9237 0 0 1.8943 0 0] /Filter/FlateDecode/Length 288>> ����H;��֚���QƝ��Vm��3�����7��ΪB�!�+�g;�uOf$J��=��2�����$��� A. cos. B −sin. Before 1997, the AP Calculus questions regarding the FTC considered only a limited number of variations. 13 0 obj appeared in both the multiple-choice and free-response sections of the AP Calculus Exam for many years. Find all critical points of fx in ab, . %PDF-1.6 %���� Read the Course Syllabus . Riemann Sums: 11 nn ii ii ca c a 111 nnn ii i i iii ab a b 1 lim ( ) b n n a i f xdx f a i x x n b a x 1 1 n i n 1 (1) If f(x) is a rational function given by ( )= ( )),such that ( ) and ( have no common factors, and c … calculus review (ab) notes Here are the notes that you will need for the AP CALCULUS exam. <>>> endobj 3 0 obj endstream A. cos. B +sin. 1+tan θ=sec. 10. cos(A − B) =cos. n���I0���y�mdW����b=����;���^�`���"�z� ��z*�A�|�U�ȴZ�&m�%���s.�u�����Fm��\>��>�1I0���s�~���Pa:���v(&��v�s? 12 0 obj Indefinite Integral :∫f x dx F x c( ) = +( ) where Fx( ) is an anti-derivative of f x( ). in [ab,]. in ab, , 3. fd is the abs. Virtual TBA. �#������(d˸)���JWJ(hIMު�>�|�S= <> 5. cos(−θ) =cosθ. 7. sin(A + B) =sin. <> If you like this product, you might enjoy my Calculus Target Practice. :f㵾ad�ve`7n����q����+[��� Z�������V��Hr��7�����Q��������I�̣ESyC��V��.��e��*w�����~�L��� H藨l�ल|������&��nԥP/��ecj�B��?$`w�GD���-�K1[/~��/0�3�~�kꢦ�ZE9��_��C����N�Y �]��V����q)����>8!Ii��D)�3t�}]���0�� stream min. endobj "Y���#0i�%Q�S��E�H6�YH2&���͑`�� RQH� �蒏`]�4!�30��` �jW Calculus Honors Year at a Glance.docx Calculus AB Year at a Glance.docx . 2. θ=1. After about 20 hours, it is done! AP Calculus AB is an introductory college-level calculus course. x���Ak�0����Cɒ�ƠcMa��Vv*�l����?�MF�������dB͹��˻j�c�ӧw[��\��$B��4g?��I�û�w� 37j(̨��. Limits and Derivatives 2. AP Calculus students need to understand this theorem using a variety of approaches and problem-solving techniques. A. AP Calculus AB Reference Sheets. 10 0 obj To find these, simply Google "AP Calculus AB formula sheet" and look at your options. endobj I also decided to create one myself using after taking a Photoshop class. &%�GS��&���c�k�TѰ��x�+k�~���^�iot�L�+����o���~ �`g�g�;��SKB�ֹ��������*EO�`T1nb�� �IE�1�9֔�Serعu�L�|L����劍*f��:R�_My~��^I�cu�������&X=T� Z}��3�I�Ӌ� D��1���j���@g� 4. θ. sin(−θ) =−sinθ. Fundamental Theorem of Calculus: ' x a d F xftdtfx dx where f t is a continuous function on [a, x]. Fundamental Theorem of Calculus <> Calculus Summary Formulas Differentiation Formulas 1. 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 1 0 obj 20 0 obj Review of elementary functions, limits, differential calculus, and integral calculus. 2. θ. X x − − − − − − = = − 1 ( 1... 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