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AP Calculus AB Formulas Flashcards

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9904734429Definition of Derivative0
9904734430Definition of Derivative at x = a1
9904734431Volume using Disks2
9904734432Volume using Washers3
9904734433Volume of Cross-Sections4
9904734439The particle is slowing down5
9904734440The particle is speeding up6
9904734441Total distance traveled7
9904734442Average value of a function8
9904734443Displacement9
9904734444Average rate of change or average velocity10
9904734493True~True or False11
9904734445Fundamental Theorem of Calculus12
9904734446(x')f(x)13
9904734447|velocity|14
9904734448vertical asymptote15
9904734449hole16
9904734450slope17
9904734451concavitysign of18
9904734452Critical Points19
9904734453Possible Inflection Points20
9904734454nx^(n-1)21
9904734455Product Rule22
9904734456Quotient Rule23
9904734457e^x24
99047344581/x25
99047344591/(xlna)26
9904734460a^x∙lna27
9904734461Chain Rule28
9904734462cosx29
9904734463-sinx30
9904734464(secx)^231
9904734465-(cscx)^232
9904734466-cscxcotx33
9904734467secxtanx34
99047344681/[f'(f^(-1)(a))]35
9904734469d/dx arcsin u36
9904734470d/dx arccos u37
9904734471d/dx arctan u38
9904734472d/dx arccot u39
9904734473d/dx arcsec u40
9904734474d/dx arccsc u41
9904734475x^(n+1)/(n+1) + C42
9904734476e^u + C43
9904734477(a^u)/lna + C44
9904734478ln|u| + C45
9904734479-cosu + C46
9904734480sinu + C47
9904734481-ln|cosu| + C48
9904734485tanu + C49
9904734486-cotu + C50
9904734487secu + C51
9904734488-cscu + C52
9904734489arcsin(u/a) + C53
9904734490(1/a)arctan(u/a) + C54
9904734491(1/a)arcsec(|u|/a) + C55
9904795498Intermediate Value Theorem56
9904798314Mean Value Theorem57
9904801198Equation of a tangent line58
9904834139Justify approximation of Riemann SumUse increasing or decreasing59
9904835177Justify approximation of Trapezoidal SumUse concavity60
9904902991Where is a function not differentiable?Cusp, corner, vertical tangent line, and discontinuity.61
9904919919Solving Differential Equations1. Separate Variables 2. Integrate both sides (add +C on one side) 3. Use Initial Condition 4. Solve for y62
9904928822Horizontal Asymptote63
9904982890L'Hopital's Rule64
9905016925Finding Absolute Min or Max1. Find critical points 2. Evaluate ORIGINAL FUNCTION at endpoints and critical points (Absolute Min & Max guaranteed by Extreme Value Theorem)65

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