B. appeared in both the multiple-choice and free-response sections of the AP Calculus Exam for many years. <> Basic Properties and Formulas If fx( ) and gx( ) are differentiable functions (the derivative exists), c and n are any real numbers, 1. ����H;��֚���QƝ��Vm��3�����7��ΪB�!�+�g;�uOf$J��=��2�����$��� endobj Print out the DERIVATIVE RULES notes ..... this will become your new BEST FRIEND !!!! endobj 17 0 obj Calculus AB Home Work.docx . 2. endstream 1. <>/Font<>>>/BBox[ 0 0 83.943 37.009] /Matrix[ 0.85772 0 0 1.9455 0 0] /Filter/FlateDecode/Length 274>> 1+cot θ=csc. min. <> A. cos. B +sin. 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 $� Read the Course Syllabus . AP Calculus AB: Assignment Sheet Chapter 2: Differentiation Date SECTION / TOPIC ASSIGNMENT Number A B of problems 9/29 2.2 Basic Differentiation Rules and p143 #1-23 odd, 35, 39, 41, 47, 49, 51, 55, 30 Tu Rates of Change 61, 63, 65, 66, 68, 95, 103, - Power Rule, Sin x, Cos x, and e^x AP#114-117 13 0 obj <> w��?_t�7ic� ���*j�'DĆ���I��� u%[��x�D���]W�:�����q�NU���\�,x����* 鐯w]�pL������/��ω���]��w�l[Z2&TV�!��]�WYF1��r���z�0Oa�h.���FK1�픔��E����LDI˪f�Q��[���r$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! 13. θ. θ θ θ cot 1 cos sin :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�� Here you will find the following in this order: 1. 1. <> %���� 2. Calculator; Computer Science A. Easily printable. endobj A. cos. B +sin. <> 36 6. I have been teaching AP Calculus BC for 25 years. 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. ��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�/� 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 Divide [ab,] into n subintervals of width ∆x and choose * x i from each interval. 5�J�%)�"]Xel�S ) Click here to learn more about the format of the exam: What is the Format of the AP Calculus AB Test?. The AP Calculus AB exam is a 3 hour and 15 minute standardized test. �#������(d˸)���JWJ(hIMު�>�|�S= Finding Absolute Extrema To find the absolute extrema of the continuous function fx on the interval ab, use the following process. 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: This 20 page PDF Calculus guide is a great study resource. .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 # ∫ <>/XObject<>/ExtGState<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> endobj B. <> 3 0 obj 6. tan(−θ) =−tanθ. I also decided to create one myself using after taking a Photoshop class. 0 6 0 obj Integrals 5. %PDF-1.5 2. θ. First and foremost, you must be you must know arithmetic, algebra, and trigonometry inside-out. endobj endobj in [ab,]. on [ab,]. If you like this product, you might enjoy my Calculus Target Practice. Calculus Reference Sheets. Then ( ) (*) 1 lim i b n a n i f x dx f x x →∞ = ∫ =∑ ∆. 16 0 obj 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. Final Notes . In general, any formula you use regularly in class is a good one to memorize. endobj If f(x) is a rational function given by ( )= ( ) ( )),such that ( ) and ( have no common factors, and c is a real in ab, , 3. fd is the abs. b a f xdx Fb Fa, where F(x) is any antiderivative of f(x). endstream endobj startxref Interactive Development Environment (IDE) or compiler; Statistics . min. Calculus Honors Home Work.docx. !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� Find all critical points of fx in ab, . x���Ak�0����Cɒ�ƠcMa��Vv*�l����?�MF�������dB͹��˻j�c�ӧw[��\��$B��4g?��I�û�w� 37j(̨��. Applications of Integration Professor: Dr. Mohammad Shakil C0-Author: Jeongmin Correa Mathematics Department <> Video Tutorials. Keyboarding Tip Sheet for 2020 AP Calculus Exams (.pdf/625 KB) Permitted. 10 0 obj 2. θ=1. Review of elementary functions, limits, differential calculus, and integral calculus. endobj endobj 15 0 obj Fundamental Theorem of Calculus: ' x a d F xftdtfx dx where f t is a continuous function on [a, x]. Trigonometric Identities Once you have mastered those fundamental topics of mathematics, you can then build your expertise in calculus. AP Calculus AB is an introductory college-level calculus course. Formulas for AP Statistics I. Descriptive Statistics 1 i i x xx nn ∑ =∑= ( ) ( )2 1 2 1 1 i xi xx s xx n n ∑− = ∑− = − − y a bxˆ= + y a bx= + 1 1 ii xy xx y y r n ss −− = ∑− y x s br s = II. 2. AB Calculus Facts and Formulae.pdf: File Size: 2865 kb: File Type: pdf: Download File. A. sin. Our Textbook as a PDF file . A. sin. Recommended for students typing responses. Course Overview. Year at a Glance. 7 0 obj <> Elaine Cheong’s Calc AB Study Guide. Calculus YouTube links by chapter & section.docx . x��[[o\�~����vQ�_�$�,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���������߰^� (xn) = nxn−1 dx d 17. dx du dx dy dx dy = × Chain Rule 2. fg fg gf dx d ( ) = ′+ ′ 3. &%�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� in ab, . n���I0���y�mdW����b=����;���^�`���"�z� ��z*�A�|�U�ȴZ�&m�%���s.�u�����Fm��\>��>�1I0���s�~���Pa:���v(&��v�s? 7. sin(A + B) =sin. Calculus I Formulas MAC 2311 1. stream endobj … -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. %%EOF <> 5 0 obj stream 20 0 obj 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 3 1 3 9. x x x − − − − = = − 1 ( ) 1. endobj %PDF-1.6 %���� After about 20 hours, it is done! Summary of Derivative Techniques 3. A. endobj To find these, simply Google "AP Calculus AB formula sheet" and look at your options. Calculus AB Calculus BC. 8. sin(A−B) =sin AcosB −sin Bcos. 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. 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 endobj 4. θ. sin(−θ) =−sinθ. <>>> I have my students make formula sheet(s) for use during the AP Exam Review Period. 2 0 obj h�b```f`` 137 0 obj <>stream A. cos. B −sin. Arithmetic Review 2. Techniques of Integration 4. 10. cos(A − B) =cos. Required. 11. sin2θ=2sinθcosθ. <> <> Traditional Calculus Formula Sheets.pdf . endstream Virtual TBA. 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). Includes formulas … AP Calculus students need to understand this theorem using a variety of approaches and problem-solving techniques. Required. Trigonometric Formulas . 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