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| 9909550027 | Velocity | Derivative of position | 0 | |
| 9909550028 | Acceleration | Derivative of velocity | 1 | |
| 9909550029 | Speed | Absolute value of velocity | 2 | |
| 9909550030 | Displacement | How far the particle is from where it started (y2-y1). | 3 | |
| 9909550031 | Position | Where the particle is at a given time. | 4 | |
| 9909550032 | Average velocity given a position function | (y2-y1) / (x2-x1) | 5 | |
| 9909550033 | Particle is moving right | Velocity is positive | 6 | |
| 9909550034 | Particle is moving left | Velocity is negative | 7 | |
| 9909550035 | Acceleration is positive | Velocity is increasing (slope of vel. graph is pos.) | 8 | |
| 9909550036 | Acceleration is negative | Velocity is decreasing (slope of vel. graph is neg.) | 9 | |
| 9909550037 | Particle changes direction | Velocity changes signs | 10 | |
| 9909550038 | Maximum height of an object | Set velocity equal to zero and check for a sign change. | 11 | |
| 9909550039 | Particle at rest | Velocity equals zero. | 12 | |
| 9909550040 | Increasing speed | Velocity and acceleration are the same sign. | 13 | |
| 9909550041 | Decreasing speed | Velocity and acceleration are opposite signs. | 14 | |
| 9909550042 | Derivative of sin x | cos x | 15 | |
| 9909550043 | Derivative of cos x | -sin x | 16 | |
| 9909550044 | Derivative of tan x | sec^2(x) | 17 | |
| 9909550045 | Derivative of cot x | -csc^2(x) | 18 | |
| 9909550046 | Derivative of sec x | sec x tan x | 19 | |
| 9909550047 | Derivative of csc x | -csc x cot x | 20 | |
| 9909550048 | Product rule | first times derivative of 2nd plus 2nd times derivative of first. | 21 | |
| 9909550049 | Quotient rule | low d high minus high d low all over low squared. | 22 | |
| 9909550050 | Power Rule for x^n | nx^(n-1) | 23 | |
| 9909550051 | Derivative of a constant | 0 | 24 | |
| 9909550052 | Equation of a line | (y-y1)=m(x-x1) | 25 | |
| 9909550053 | Equation of a normal line | (y-y1)=-(1/m)(x-x1) | 26 | |
| 9909550054 | Horizontal tangents | Set derivative equal to zero. | 27 | |
| 9909550055 | Not differentiable if... | Corners, cusps, vertical tangents, discontinuities | 28 | |
| 9909550056 | 4 types of discontinuity | Jump, removable, infinite (asymptote), oscillating | 29 | |
| 9909550057 | Continuous but not differentiable | Corners, cusps, vertical tangents | 30 | |
| 9909550058 | Definition of continuity at a point | function value = limit value | 31 | |
| 9909550059 | Differentiability from a piecewise | Check continuity (functions have the same y) and differentiability (same derivatives). | 32 | |
| 9909550060 | Sketching the derivative | Find the zero slopes and then pay attention to pos. or neg. slope. | 33 | |
| 9909550061 | How we treat the nth root of x | x^(1/n) | 34 | |
| 9909550062 | How we treat 1/x^n | x^(-n) | 35 | |
| 9909550063 | Slope from a point on a table | Find the slope of the point above and below. | 36 | |
| 9909550064 | Increasing | f' is positive | 37 | |
| 9909550065 | Decreasing | f' is negative | 38 | |
| 9909550066 | Concave up | f'' is positive | 39 | |
| 9909550067 | Concave down | f'' is negative | 40 | |
| 9909550068 | Inflection point | f" changes sign or f' goes from inc. to dec. (or vice versa) | 41 | |
| 9909550069 | Critical point | f'=0 or f' is undefined | 42 | |
| 9909550070 | Where to look for max and mins | Critical points and endpoints | 43 | |
| 9909550071 | Mean Value Theorem | Closed, continuous, and differentiable - there is a point c where avg slope = inst. Slope | 44 | |
| 9909550072 | Extreme Value Theorem | Closed and continuous - There will be an absolute max and min | 45 | |
| 9909550073 | Intermediate Value Theorem | Closed and Continuous - Every y value gets hit on the way from f(a) to f(b) | 46 | |
| 9909550074 | L'Hopital | If indeterminate - derive the top and bottom. | 47 | |
| 9909550075 | Area of a trapezoid | ½ the height times the sum of the 2 bases | 48 | |
| 9909550076 | Growth formula for dy/dx = ky | y=Ae^(kt) | 49 | |
| 9909550077 | How to find vertical asymptotes | set denominator = 0 | 50 | |
| 9909550078 | How to find horizontal asymptotes | find the lim as x approaches positive and negative infinity | 51 | |
| 9909550080 | Change in position (displacement) | integrate v(t)dt from a to b | 52 | |
| 9909550081 | Total distance traveled |  | 53 | |
| 9909550082 | Average value of a function |  | 54 |
