1+tan θ=sec. 8. x ( ) ( ) 2 32 2 6 6. 5 0 obj Classics Summary. max. AP Calculus AB is an introductory college-level calculus course. [ 18 0 R] <> 20 0 obj n���I0���y�mdW����b=����;���^�`���"�z� ��z*�A�|�U�ȴZ�&m�%���s.�u�����Fm��\>��>�1I0���s�~���Pa:���v(&��v�s? For a quick review check out the following helpful articles. endobj Integrals 5. endobj AP Calculus AB Reference Sheets. Calculus Formula Sheets.pdf . 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. endobj 2. θ=1. It is 2 pages 81/2" x 11" in color in .pdf format. <> <> 15 0 obj I have my students make formula sheet(s) for use during the AP Exam Review Period. Here you will find the following in this order: 1. 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 $� 7. sin(A + B) =sin. B. in ab, . !NY�]��`���>��'ĕ��03m =R\�&��'0� #R�=�4Fꂍb#c�G0�Q�`C����mÖ��5 X�������K�&0�g3��>y3�ԃ.�7��c-pj�M������ഐ��h{�p�}S�p�L��]�G��D���aI�U+*6��>���Y���mH(D��5��c�c�=�!�l���r��O���x��� ��9����8�eA�O�m�>d�����l���N|���.l���W��݀�R�C?��PRO^��|��C���QN�ި���؆p ����,��ئq|�5$��ñd�l[��%����)g\��������~�p�6� Differentiation rules 3. First and foremost, you must be you must know arithmetic, algebra, and trigonometry inside-out. %PDF-1.5 ... [ab,], 3. fd( ) is the abs. AB Calculus Facts and Formulae.pdf: File Size: 2865 kb: File Type: pdf: Download File. 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: <> 1+cot θ=csc. <> (xn) = nxn−1 dx d 17. dx du dx dy dx dy = × Chain Rule 2. fg fg gf dx d ( ) = ′+ ′ 3. endobj endobj Calculus Honors Home Work.docx. Easily printable. 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. 36 6. �#������(d˸)���JWJ(hIMު�>�|�S= Read the Course Syllabus . A. 1. sin θ+cos. 2. θ. Calculus Honors Year at a Glance.docx Calculus AB Year at a Glance.docx . %%EOF 5�J�%)�"]Xel�S ) <>>> B. cos. A. "Y���#0i�%Q�S��E�H6�YH2&���͑`�� RQH� �蒏`]�4!�30��` �jW The AP Calculus AB exam is a 3 hour and 15 minute standardized test. A. sin. A. cos. B +sin. <>/Font<>>>/BBox[ 0 0 83.943 37.009] /Matrix[ 0.85772 0 0 1.9455 0 0] /Filter/FlateDecode/Length 274>> endobj endobj This 20 page PDF Calculus guide is a great study resource. Review of elementary functions, limits, differential calculus, and integral calculus. 2 0 obj AP Calculus students need to understand this theorem using a variety of approaches and problem-solving techniques. �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 Summary Formulas Differentiation Formulas 1. After about 20 hours, it is done! 19 0 obj 5. cos(−θ) =cosθ. 11 0 obj B. 137 0 obj <>stream endobj A. cos. B +sin. endobj 2. Summary of Derivative Techniques 3. Calculus YouTube links by chapter & section.docx . 7 0 obj A. sin. stream Arithmetic Review 2. If you like this product, you might enjoy my Calculus Target Practice. 4. θ. sin(−θ) =−sinθ. a`e`�� Ā B,@Q�F� �&py� U2�7Ȝq�ˢ�������ή���U{�J�(���s�J�1?܂��l܂���n'8� CFGGG��`@�@Qq. 11. sin2θ=2sinθcosθ. 10. cos(A − B) =cos. 10 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. Fundamental Theorem of Calculus: ' x a d F xftdtfx dx where f t is a continuous function on [a, x]. 14 0 obj <> endobj 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. b a f xdx Fb Fa, where F(x) is any antiderivative of f(x). Traditional endobj 1 1 5 5 25. x x x −= = − ⋅− − ( ) ( ) ( ) 2 8 4 22 8. Trigonometric Identities Once you have mastered those fundamental topics of mathematics, you can then build your expertise in calculus. Calculus. AP Calc AB; Welcome to AP Calculus AB! 13. θ. θ θ θ cot 1 cos sin 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 <> 9. cos(A + B) =cos. Calculus AB Calculus BC. Finding Absolute Extrema To find the absolute extrema of the continuous I also decided to create one myself using after taking a Photoshop class. 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) 3 0 obj Before 1997, the AP Calculus questions regarding the FTC considered only a limited number of variations. endstream If f(x) is a rational function given by ( )= ( )),such that ( ) and ( have no common factors, and c … endobj Includes formulas … AB Calculus Facts and Formulae 2. endstream 3 1 3 9. x x x − − − − = = − 1 ( ) 1. Techniques of Integration 4. Virtual TBA. 1. <> Trigonometric Formulas . Elaine Cheong’s Calc AB Study Guide. 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). x���Ak�0����Cɒ�ƠcMa��Vv*�l����?�MF�������dB͹��˻j�c�ӧw[��\��$B��4g?��I�û�w� 37j(̨��. I have been teaching AP Calculus BC for 25 years. Click here to learn more about the format of the exam: What is the Format of the AP Calculus AB Test?. endobj 2. θ. Then ( ) (*) 1 lim i b n a n i f x dx f x x →∞ = ∫ =∑ ∆. To find these, simply Google "AP Calculus AB formula sheet" and look at your options. AP CAL AB Reference Sheet.pdf Indefinite Integral :∫f x dx F x c( ) = +( ) where Fx( ) is an anti-derivative of f x( ). .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 # ∫ endobj on [ab,]. min. stream 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. 98 0 obj <> endobj Calculus AB Home Work.docx . 1. Finding Absolute Extrema To find the absolute extrema of the continuous function fx on the interval ab, use the following process. endobj So it’s really important to do well on the test if you want a jump start on your college career. <> 13 0 obj Fundamental Theorem of Calculus 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���������߰^� Final Notes . Year at a Glance. Calculator; Computer Science A. <> min. ����H;��֚���QƝ��Vm��3�����7��ΪB�!�+�g;�uOf$J��=��2�����$��� stream &%�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� <>/Font<>>>/BBox[ 0 0 77.947 38.009] /Matrix[ 0.9237 0 0 1.8943 0 0] /Filter/FlateDecode/Length 288>> endobj 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. Interactive Development Environment (IDE) or compiler; Statistics . endstream endobj startxref <> h�b```f`` :f㵾ad�ve`7n����q����+[��� Z�������V��Hr��7�����Q��������I�̣ESyC��V��.��e��*w�����~�L��� H藨l�ल|������&��nԥP/��ecj�B��?$`w�GD���-�K1[/~��/0�3�~�kꢦ�ZE9��_��C����N�Y �]��V����q)����>8!Ii��D)�3t�}]���0�� 3. Required. ¨¸ ©¹ _____ Absolute value: 0 0 x if x x x if x ­ t ® ¯ _____ Definition of the derivative: 0 ( ) lim h f x h f x fx o h c If f(x) is a rational function given by ( )= ( ) ( )),such that ( ) and ( have no common factors, and c is a real AP Calculus AB Formulas & Justifications. Central Bucks High School East. 9 0 obj Algebra Review (ACT) 3. Home Work. 12. <> OneNote will be used for all course materials, including daily agendas, notes, worksheets, assignments, and answer keys. AP CALCULUS AB and BC . absinC Trapezium Area = 1 2 (a +b)h Sector Area = 1 2 r2θ Arc length = rθ Cylinder Volume = !r2h Curved surface area = 2!rh Cone Volume = 1 3!r2h Curved surface area = !rl where l = slant height Sphere Volume = 4 3!r3 Surface area = 4!r2 L3–CALCF 4 w��?_t�7ic� ���*j�'DĆ���I��� u%[��x�D���]W�:�����q�NU���\�,x����* 鐯w]�pL������/��ω���]��w�l[Z2&TV�!��]�WYF1��r���z�0Oa�h.���FK1�픔��E����LDI˪f�Q��[���r$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! End Of The Road Movie 2011, Paw Patrol Baking, 2 Bhk Sector 10 Kharghar, Medical Corps Ranks, Johann Name Popularity, Utmb Nursing Summer 2020, Ny Sales Tax On Clothing 2020, " />
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ap calculus ab formula sheet pdf

%PDF-1.6 %���� Calculus I Formulas MAC 2311 1. Java Quick Reference (.pdf/378.99 KB) Permitted. 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 21 0 obj endobj Applications of Differentiation 4. 8. sin(A−B) =sin AcosB −sin Bcos. 6 0 obj 12 0 obj Required. 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 Video Tutorials. ab, then there exist numbers c and d so that, 1.,acd b , 2. fc is the abs. In general, any formula you use regularly in class is a good one to memorize. Recommended for students typing responses. Anti-Derivative : An anti-derivative of f x( ) is a function, Fx( ), such that F x f x′( )= ( ). Find all critical points of fx in ab, . in [ab,]. additional resources, including a PowerPoint version, a Word document in color, as well as AP Calculus BC topics on his website. ��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�/� Applications of Integration Professor: Dr. Mohammad Shakil C0-Author: Jeongmin Correa Mathematics Department calculus review (ab) notes Here are the notes that you will need for the AP CALCULUS exam. Major formulas you should have memorized include those for limits, differentiation, and integration, as well as the fundamental theorems. Basic Properties and Formulas If fx( ) and gx( ) are differentiable functions (the derivative exists), c and n are any real numbers, 1. … Calculus Reference Sheets. <> 1+tan θ=sec. 8. x ( ) ( ) 2 32 2 6 6. 5 0 obj Classics Summary. max. AP Calculus AB is an introductory college-level calculus course. [ 18 0 R] <> 20 0 obj n���I0���y�mdW����b=����;���^�`���"�z� ��z*�A�|�U�ȴZ�&m�%���s.�u�����Fm��\>��>�1I0���s�~���Pa:���v(&��v�s? For a quick review check out the following helpful articles. endobj Integrals 5. endobj AP Calculus AB Reference Sheets. Calculus Formula Sheets.pdf . 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. endobj 2. θ=1. It is 2 pages 81/2" x 11" in color in .pdf format. <> <> 15 0 obj I have my students make formula sheet(s) for use during the AP Exam Review Period. Here you will find the following in this order: 1. 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 $� 7. sin(A + B) =sin. B. in ab, . !NY�]��`���>��'ĕ��03m =R\�&��'0� #R�=�4Fꂍb#c�G0�Q�`C����mÖ��5 X�������K�&0�g3��>y3�ԃ.�7��c-pj�M������ഐ��h{�p�}S�p�L��]�G��D���aI�U+*6��>���Y���mH(D��5��c�c�=�!�l���r��O���x��� ��9����8�eA�O�m�>d�����l���N|���.l���W��݀�R�C?��PRO^��|��C���QN�ި���؆p ����,��ئq|�5$��ñd�l[��%����)g\��������~�p�6� Differentiation rules 3. First and foremost, you must be you must know arithmetic, algebra, and trigonometry inside-out. %PDF-1.5 ... [ab,], 3. fd( ) is the abs. AB Calculus Facts and Formulae.pdf: File Size: 2865 kb: File Type: pdf: Download File. 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: <> 1+cot θ=csc. <> (xn) = nxn−1 dx d 17. dx du dx dy dx dy = × Chain Rule 2. fg fg gf dx d ( ) = ′+ ′ 3. endobj endobj Calculus Honors Home Work.docx. Easily printable. 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. 36 6. �#������(d˸)���JWJ(hIMު�>�|�S= Read the Course Syllabus . A. 1. sin θ+cos. 2. θ. Calculus Honors Year at a Glance.docx Calculus AB Year at a Glance.docx . %%EOF 5�J�%)�"]Xel�S ) <>>> B. cos. A. "Y���#0i�%Q�S��E�H6�YH2&���͑`�� RQH� �蒏`]�4!�30��` �jW The AP Calculus AB exam is a 3 hour and 15 minute standardized test. A. sin. A. cos. B +sin. <>/Font<>>>/BBox[ 0 0 83.943 37.009] /Matrix[ 0.85772 0 0 1.9455 0 0] /Filter/FlateDecode/Length 274>> endobj endobj This 20 page PDF Calculus guide is a great study resource. Review of elementary functions, limits, differential calculus, and integral calculus. 2 0 obj AP Calculus students need to understand this theorem using a variety of approaches and problem-solving techniques. �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 Summary Formulas Differentiation Formulas 1. After about 20 hours, it is done! 19 0 obj 5. cos(−θ) =cosθ. 11 0 obj B. 137 0 obj <>stream endobj A. cos. B +sin. endobj 2. Summary of Derivative Techniques 3. Calculus YouTube links by chapter & section.docx . 7 0 obj A. sin. stream Arithmetic Review 2. If you like this product, you might enjoy my Calculus Target Practice. 4. θ. sin(−θ) =−sinθ. a`e`�� Ā B,@Q�F� �&py� U2�7Ȝq�ˢ�������ή���U{�J�(���s�J�1?܂��l܂���n'8� CFGGG��`@�@Qq. 11. sin2θ=2sinθcosθ. 10. cos(A − B) =cos. 10 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. Fundamental Theorem of Calculus: ' x a d F xftdtfx dx where f t is a continuous function on [a, x]. 14 0 obj <> endobj 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. b a f xdx Fb Fa, where F(x) is any antiderivative of f(x). Traditional endobj 1 1 5 5 25. x x x −= = − ⋅− − ( ) ( ) ( ) 2 8 4 22 8. Trigonometric Identities Once you have mastered those fundamental topics of mathematics, you can then build your expertise in calculus. Calculus. AP Calc AB; Welcome to AP Calculus AB! 13. θ. θ θ θ cot 1 cos sin 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 <> 9. cos(A + B) =cos. Calculus AB Calculus BC. Finding Absolute Extrema To find the absolute extrema of the continuous I also decided to create one myself using after taking a Photoshop class. 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) 3 0 obj Before 1997, the AP Calculus questions regarding the FTC considered only a limited number of variations. endstream If f(x) is a rational function given by ( )= ( )),such that ( ) and ( have no common factors, and c … endobj Includes formulas … AB Calculus Facts and Formulae 2. endstream 3 1 3 9. x x x − − − − = = − 1 ( ) 1. Techniques of Integration 4. Virtual TBA. 1. <> Trigonometric Formulas . Elaine Cheong’s Calc AB Study Guide. 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). x���Ak�0����Cɒ�ƠcMa��Vv*�l����?�MF�������dB͹��˻j�c�ӧw[��\��$B��4g?��I�û�w� 37j(̨��. I have been teaching AP Calculus BC for 25 years. Click here to learn more about the format of the exam: What is the Format of the AP Calculus AB Test?. endobj 2. θ. Then ( ) (*) 1 lim i b n a n i f x dx f x x →∞ = ∫ =∑ ∆. To find these, simply Google "AP Calculus AB formula sheet" and look at your options. AP CAL AB Reference Sheet.pdf Indefinite Integral :∫f x dx F x c( ) = +( ) where Fx( ) is an anti-derivative of f x( ). .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 # ∫ endobj on [ab,]. min. stream 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. 98 0 obj <> endobj Calculus AB Home Work.docx . 1. Finding Absolute Extrema To find the absolute extrema of the continuous function fx on the interval ab, use the following process. endobj So it’s really important to do well on the test if you want a jump start on your college career. <> 13 0 obj Fundamental Theorem of Calculus 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���������߰^� Final Notes . Year at a Glance. Calculator; Computer Science A. <> min. ����H;��֚���QƝ��Vm��3�����7��ΪB�!�+�g;�uOf$J��=��2�����$��� stream &%�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� <>/Font<>>>/BBox[ 0 0 77.947 38.009] /Matrix[ 0.9237 0 0 1.8943 0 0] /Filter/FlateDecode/Length 288>> endobj 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. Interactive Development Environment (IDE) or compiler; Statistics . endstream endobj startxref <> h�b```f`` :f㵾ad�ve`7n����q����+[��� Z�������V��Hr��7�����Q��������I�̣ESyC��V��.��e��*w�����~�L��� H藨l�ल|������&��nԥP/��ecj�B��?$`w�GD���-�K1[/~��/0�3�~�kꢦ�ZE9��_��C����N�Y �]��V����q)����>8!Ii��D)�3t�}]���0�� 3. Required. ¨¸ ©¹ _____ Absolute value: 0 0 x if x x x if x ­ t ® ¯ _____ Definition of the derivative: 0 ( ) lim h f x h f x fx o h c If f(x) is a rational function given by ( )= ( ) ( )),such that ( ) and ( have no common factors, and c is a real AP Calculus AB Formulas & Justifications. Central Bucks High School East. 9 0 obj Algebra Review (ACT) 3. Home Work. 12. <> OneNote will be used for all course materials, including daily agendas, notes, worksheets, assignments, and answer keys. AP CALCULUS AB and BC . absinC Trapezium Area = 1 2 (a +b)h Sector Area = 1 2 r2θ Arc length = rθ Cylinder Volume = !r2h Curved surface area = 2!rh Cone Volume = 1 3!r2h Curved surface area = !rl where l = slant height Sphere Volume = 4 3!r3 Surface area = 4!r2 L3–CALCF 4 w��?_t�7ic� ���*j�'DĆ���I��� u%[��x�D���]W�:�����q�NU���\�,x����* 鐯w]�pL������/��ω���]��w�l[Z2&TV�!��]�WYF1��r���z�0Oa�h.���FK1�픔��E����LDI˪f�Q��[���r$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!

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