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AP Calculus - Jun Nguyen Flashcards

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14019452891Volume of Revolution Disk0
14019452892Volume of Revolution Washer1
14019452893Volume of Known Cross-Sections2
14019452894Total distance traveled3
14019452895Average value of a function4
14019452896Displacement (Change in position)5
14019452897Average rate of change6
14019452898Fundamental Theorem of Calculus7
14019452899concavity f'' > 0, f is concave up f'' < 0, f is concave down8
14019452900Critical Points9
14019452901Possible Inflection Points10
14019452902Product Rule11
14019452903Quotient Rule12
14019452904Intermediate Value Theorem13
14019452905Mean Value Theorem14
14019452906Horizontal Asymptote15
14019452907L'Hopital's Rule16
14019452910Average Rate of ChangeSlope of secant line between two points, use to estimate instantanous rate of change at a point.17
14019452911Instantenous Rate of ChangeSlope of tangent line at a point, value of derivative at a point18
14019452912left Riemann sumuse rectangles with left-endpoints to evaluate integral (estimate area)19
14019452913right Riemann sumuse rectangles with right-endpoints to evaluate integrals (estimate area)20
14019452914trapezoidal ruleuse trapezoids to evaluate integrals (estimate area)21
14019452915If g(x) = ∫f(t)dt on interval 2 to x, then g'(x) =g'(x) = f(x)22
14019452916Fundamental Theorem of Calculus∫f(x)dx on interval a to b = F(b) - F(a)23
14019452917area between two curves∫(top function - bottom function)dx over interval a to b24
14019452908Instantaneous Rate of Change at x = c25
14019452919Differentiablewhen the left sided limit of f'(x) equals the right sided limit of f'(x)26
14019452920velocityderivative of position27
14019452921accelerationderivative of velocity28
14019452909jump discontinuity (non-removable)29

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