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 |