AP Calc Formulas

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Last updated 6:30 AM on 4/20/26
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94 Terms

1
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<p>what do these equal to </p>

what do these equal to

c; a

2
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Tell me the special trig limits

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3
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What are the removable and non-removable discontinuities?

Removable: Holes

Non-removable: jump, infinite

4
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What is the limit definition of a vertical asymptote?

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5
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What is the limit definition of a horizontal asymptote?

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6
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What is the Intermediate Value Theorem and what are the conditions?

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7
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What is the definition of continuity

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8
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What is formula for IROC/difference quotient

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9
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Tell me how you can say there is a tangent line using IROC

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10
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11
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what is chain rule

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12
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13
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14
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What is free fall motion formula?

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15
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What are the gravitational constants (two of them)

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16
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What is marginal cost?

rate of change of the cost function

17
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18
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What is the formula for the tangent line approximation to f(x) at a

<p></p>
19
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What is the linear approximation error

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20
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What is L’Hospital Rule and how do you use it in FRQ (have to write some stuf)

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21
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What is Mean Value Theorem

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22
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What is Rolle’s Theorem

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23
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What is the extreme value theorem

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24
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What are critical values and how to get them?

Endpoints and where derivative is 0 of DNE

25
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How to find what intervals graph is decreasing/increasing?

Find the zeroes of the first derivative and plug in points in first derivative, if its positive it is increasing if it is negative it is decreasing

26
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How to find what points are the minimum maximum?

if it changes from positive to negative first derivative that is a maximum, if it changes from negative to positive first derivative that is a minimum.

27
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How to test for concavity, what is POI

POI is the zero of second derivative

<p>POI is the zero of second derivative </p>
28
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How to do optimization

Just have two equation and then plug one into the other equation and find the derivative of that equation.

<p>Just have two equation and then plug one into the other equation and find the derivative of that equation. </p>
29
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<p>tell overestimating/underestimating </p>

tell overestimating/underestimating

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30
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<p>How do you do left and right hand sums? </p>

How do you do left and right hand sums?

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31
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What is trapezoidal sum formula?

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32
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33
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What is fundamental theorem of calculus part 1

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34
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35
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What is difference between indefinite integral and definite integral?

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36
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37
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What is the fundamental theorem of calculus part 2?

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38
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39
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<p>How do you solve shit like this </p>

How do you solve shit like this

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40
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41
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42
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43
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Tell me the major trig identites (precalc stuff)

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44
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<p>How to solve something like this: (sin odd)</p>

How to solve something like this: (sin odd)

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45
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<p>How to solve something like this (cos odd)</p>

How to solve something like this (cos odd)

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46
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<p>How to solve something like this (both even) </p>

How to solve something like this (both even)

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47
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<p>How to solve something like this (tangent is odd) </p>

How to solve something like this (tangent is odd)

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48
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How to solve something like this (secant is even)

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49
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What is integration by parts and how to do it?

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50
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When to use tabular method for integration by parts

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51
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How to do tabular method?

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52
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<p>When denominator power greater than numerator what integral method ot use (like image)? what if numerator power greater than denominator?</p>

When denominator power greater than numerator what integral method ot use (like image)? what if numerator power greater than denominator?

53
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<p>How to do discontinuity at an upper endpoint? </p>

How to do discontinuity at an upper endpoint?

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54
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<p>How to do discontinuity at a lower endpoint? </p>

How to do discontinuity at a lower endpoint?

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55
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<p>How to do discontinuity at some point c inside (a, b)</p>

How to do discontinuity at some point c inside (a, b)

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56
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How to write differential equation for inversely proportional?

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57
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<p>How to solve for the general solution of this? </p>

How to solve for the general solution of this?

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58
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<p>How do you do Euler’s method? </p>

How do you do Euler’s method?

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59
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What is the formula for exponential change?

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60
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What is half-life equal to? (k)

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61
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What is the logistic differential equation?

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62
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What is the carrying capacity

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63
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What is the mean value of thinking?

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64
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How to find average value of a function on an interval?

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65
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How to find area between curve?

If given no graph js find intersection and go through eahc point through intersection points and see which function greater, be aware might need to split the integrals

<p>If given no graph js find intersection and go through eahc point through intersection points and see which function greater, be aware might need to split the integrals</p>
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69
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70
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71
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72
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73
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74
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75
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76
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77
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<p>unit 9 area of diff curves </p>

unit 9 area of diff curves

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78
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79
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What is the geometric series test

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80
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81
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What is the nth term test for divergence

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82
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83
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What is the integral test and requirements?

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84
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85
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86
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What is limit comparison test

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87
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What is the alternating series test

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88
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Tell all the different types of convergence

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89
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Tell me the ratio test

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90
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tell me the root test

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91
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what is the taylor polynomial

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92
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93
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what is the lagrange error bound

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94
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What will decrease/increase remainder of the taylor polynomial

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