AP Calculus - Jun Nguyen Flashcards
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14019452891 | Volume of Revolution Disk | ![]() | 0 | |
14019452892 | Volume of Revolution Washer | ![]() | 1 | |
14019452893 | Volume of Known Cross-Sections | ![]() | 2 | |
14019452894 | Total distance traveled | ![]() | 3 | |
14019452895 | Average value of a function | ![]() | 4 | |
14019452896 | Displacement (Change in position) | ![]() | 5 | |
14019452897 | Average rate of change | ![]() | 6 | |
14019452898 | Fundamental Theorem of Calculus | ![]() | 7 | |
14019452899 | concavity f'' > 0, f is concave up f'' < 0, f is concave down | ![]() | 8 | |
14019452900 | Critical Points | ![]() | 9 | |
14019452901 | Possible Inflection Points | ![]() | 10 | |
14019452902 | Product Rule | ![]() | 11 | |
14019452903 | Quotient Rule | ![]() | 12 | |
14019452904 | Intermediate Value Theorem | ![]() | 13 | |
14019452905 | Mean Value Theorem | ![]() | 14 | |
14019452906 | Horizontal Asymptote | ![]() | 15 | |
14019452907 | L'Hopital's Rule | ![]() | 16 | |
14019452910 | Average Rate of Change | Slope of secant line between two points, use to estimate instantanous rate of change at a point. | 17 | |
14019452911 | Instantenous Rate of Change | Slope of tangent line at a point, value of derivative at a point | 18 | |
14019452912 | left Riemann sum | use rectangles with left-endpoints to evaluate integral (estimate area) | 19 | |
14019452913 | right Riemann sum | use rectangles with right-endpoints to evaluate integrals (estimate area) | 20 | |
14019452914 | trapezoidal rule | use trapezoids to evaluate integrals (estimate area) | 21 | |
14019452915 | If g(x) = ∫f(t)dt on interval 2 to x, then g'(x) = | g'(x) = f(x) | 22 | |
14019452916 | Fundamental Theorem of Calculus | ∫f(x)dx on interval a to b = F(b) - F(a) | 23 | |
14019452917 | area between two curves | ∫(top function - bottom function)dx over interval a to b | 24 | |
14019452908 | Instantaneous Rate of Change at x = c | ![]() | 25 | |
14019452919 | Differentiable | when the left sided limit of f'(x) equals the right sided limit of f'(x) | 26 | |
14019452920 | velocity | derivative of position | 27 | |
14019452921 | acceleration | derivative of velocity | 28 | |
14019452909 | jump discontinuity (non-removable) | ![]() | 29 |