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| 6666404291 | Finding a basic limit |  | 0 | |
| 6666414037 | Finding a basic limit (piecewise function) |  | 1 | |
| 6666490130 | Showing continuity at a point |  | 2 | |
| 6666504689 | Finding limits at infinity |  | 3 | |
| 6666592801 | Finding horizontal asymptotes |  | 4 | |
| 6666605170 | Finding derivative using limit definitions |  | 5 | |
| 6666609859 | Finding average rate of change |  | 6 | |
| 6666617320 | Finding instantaneous rate of change |  | 7 | |
| 6666623457 | Finding approximate derivative using a table of values |  | 8 | |
| 6666637174 | Finding horizontal tangent lines to a curve |  | 9 | |
| 6666658232 | Finding vertical tangent lines to a curve |  | 10 | |
| 6666667495 | Using linear approximations to find values of a function |  | 11 | |
| 6666680144 | Find the derivative of f(g(x)) |  | 12 | |
| 6666690032 | Showing that a piecewise function is differentiable at the break point |  | 13 | |
| 6666704173 | Finding critical values/points |  | 14 | |
| 6666721147 | Finding increasing/decreasing behavior of a function |  | 15 | |
| 6666726158 | Finding relative extrema of a function |  | 16 | |
| 6666750715 | Finding inflection points using the second derivative |  | 17 | |
| 6666756049 | Finding inflection points using the graph of the first derivative | Find where f' changes direction (increasing to decreasing or vice versa) | 18 | |
| 6666764185 | Finding the absolute max/min of f(x) on a closed interval [a,b] |  | 19 | |
| 6666776543 | Showing that Rolle's Theorem applies to f(x) on [a,b] |  | 20 | |
| 6666779733 | List the guarantee of Rolle's Theorem if it applies |  | 21 | |
| 6666782238 | Showing that the Mean Value Theorem applies to f(x) on [a,b] |  | 22 | |
| 6666785925 | List the guarantee of the Mean Value Theorem if it applies |  | 23 | |
| 6666861392 | Finding increasing/decreasing behavior of f(x) given the graph of f'(x) |  | 24 | |
| 6666865448 | Deciding whether a linear approximation over/underestimates the true function value |  | 25 | |
| 6666882574 | Finding the minimum (maximum) slope of f(x) on [a,b] |  | 26 | |
| 6666891932 | Approximate area using a LEFT Riemann sum with n rectangles |  | 27 | |
| 6666904460 | Approximate area using a RIGHT Riemann sum with n rectangles |  | 28 | |
| 6666910930 | Approximate area using a MIDPOINT Riemann sum |  | 29 | |
| 6666917786 | Approximate area using trapezoids |  | 30 | |
| 6666928758 | Calculate definite integrals from right to left |  | 31 | |
| 6666939546 | State the basic form of the area accumulation function |  | 32 | |
| 6666953026 | Finding the area under a curve that has been shifted up vertically k units |  | 33 | |
| 6666966827 | Given f'(x) and f(a), find f(b) |  | 34 | |
| 6666989206 | Find the derivative of the basic area accumulation function |  | 35 | |
| 6666990645 | Find the derivative of the area accumulation function (chain rule situation |  | 36 | |
| 6667004002 | Finding the area under a curve f(x) on [a,b] |  | 37 | |
| 6667008912 | Finding the area between f(x) and g(x) |  | 38 | |
| 6667016034 | Find the vertical line x=c that divides the area under f(x) on [a,b] into equal pieces |  | 39 | |
| 6667028158 | Find the volume when the area under f(x) is revolved about the x-axis (area is flush up against x-axis) |  | 40 | |
| 6667058175 | Find the volume when the area between f(x) and g(x) is revolved about the x-axis |  | 41 | |
| 6667063128 | Find the volume when the area under f(x) on [a,b] is revolved about the y-axis |  | 42 | |
| 6667104935 | Find cross-sectional volumes |  | 43 | |
| 6667087680 | Given a base that lies between f(x) and g(x) on [a,b], find the volume of the solid formed by projecting squares upwards that are perpendicular to the base. |  | 44 | |
| 6667141432 | Solving first-order separable differential equations |  | 45 | |
| 6667147932 | Find the average value of f(x) on [a,b] |  | 46 | |
| 6667164859 | Setting up an exponential growth situation |  | 47 | |
| 6667179250 | Drawing a slope field |  | 48 | |
| 6667183403 | Given a slope field, find the differential equation |  | 49 | |
| 6667242866 | Given a position function s(t), find velocity and acceleration |  | 50 | |
| 6667247663 | Given v(t) and s(0), find s(t) |  | 51 | |
| 6667250571 | Given a(t), v(0)=0 and s(0), find s(t) |  | 52 | |
| 6667256824 | Given position function s(t), find average velocity from t_1 to t_2 (precalculus idea) |  | 53 | |
| 6667260768 | Given position function s(t), find instantaneous velocity at t=k (calculus idea) |  | 54 | |
| 6667396088 | Given velocity, decide whether a particle is speeding up or slowing down at time t=k |  | 55 | |
| 6667266878 | Given velocity function v(t) on [t1, t2], find the minimum (maximum) acceleration of the particle |  | 56 | |
| 6667280145 | Find the average velocity of the particle on [t1, t2] |  | 57 | |
| 6667284967 | Given the velocity function v(t), find the change in position of the particle (aka displacement) on [t1, t2] |  | 58 | |
| 6667287871 | Given the velocity function v(t), find the total distance traveled by the particle on [t1, t2] | (You can sometimes use a calculator to do the heavy lifting after setting this up.) |  | 59 |
| 6667290865 | Given the velocity function v(t), find the total distance traveled by the particle on [t1, t2] (no calculator) |  | 60 | |
| 6667299813 | Given the velocity function, find the time at which the particle is furthest from its starting point (also could be furthest to the left/right) |  | 61 | |
| 6667305510 | State the meaning of the integral of a rate of change |  | 62 | |
| 6667320013 | Setting up a "rate-in, rate-out" word problem (for example, a water tank has g gallons to start, the filling rate is F(t), the emptying rate is E(t), how much in tank at m-minute mark?) |  | 63 | |
| 6667328768 | Setting up a "rate-in, rate-out" word problem (for example, a water tank has g gallons to start, the filling rate is F(t), the emptying rate is E(t), how fast is water level changing at m-minute mark?) |  | 64 | |
| 6667329858 | Setting up a "rate-in, rate-out" word problem (for example, a water tank has g gallons to start, the filling rate is F(t), the emptying rate is E(t), when is tank level at a minimum/maximum?) |  | 65 |
