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| 6383808471 | Double Angle Formula for cos²(θ) |  | 0 | |
| 6383808472 | Double Angle Formula for sin²(θ) |  | 1 | |
| 6383808473 | sin(0)= |  | 2 | |
| 6383808474 | sin(π/4) |  | 3 | |
| 6383808475 | sin⁻¹(-1) |  | 4 | |
| 6383808476 | tan⁻¹(-1) |  | 5 | |
| 6383808477 | 1+cot²(θ) |  | 6 | |
| 6383808478 | 1+tan²(θ) |  | 7 | |
| 6383808479 | sin(2θ) |  | 8 | |
| 6383808480 | cos(2θ) |  | 9 | |
| 6383808483 | log(AB) |  | 10 | |
| 6383808484 | log(A / B) |  | 11 | |
| 6383808485 | log(A) ^ x |  | 12 | |
| 6383808486 | e^(ln(x)) |  | 13 | |
| 6383808487 | ln(x) / ln(a) |  | 14 | |
| 6383808488 | Simplify the expression into one log: 2 ln(x) + ln(x+1) - ln(x-1) |  | 15 | |
| 6383808489 | For what value of x is there a hole, and for what value of x is there a vertical asymptote? f(x) = ((x - a)(x - b))/ ((x - a)(x - c)) |  | 16 | |
| 6383808490 | Definition of the Derivative (Using the limit as h→0) |  | 17 | |
| 6383808492 | lim x→₀ sin(x)/x |  | 18 | |
| 6383808493 | lim x→∞ tan⁻¹(x) |  | 19 | |
| 6383808495 | First derivative test for a local max of f at x = a |  | 20 | |
| 6383808496 | First derivative test for a local min of f at x = a |  | 21 | |
| 6383808497 | Second derivative test for a local max of f at x = a |  | 22 | |
| 6383808498 | Second derivative test for a local min of f at x = a |  | 23 | |
| 6383808499 | Test for max and mins of f on [a, b] |  | 24 | |
| 6383808500 | Inflection Points |  | 25 | |
| 6383808501 | ƒ'(x) < 0 |  | 26 | |
| 6383808502 | ƒ''(x) < 0 or ƒ'(x) is decreasing |  | 27 | |
| 6383808503 | ƒ'(x) > 0 |  | 28 | |
| 6383808504 | ƒ''(x) > 0 or ƒ'(x) is increasing |  | 29 | |
| 6383808505 | Intermediate Value Theorem (IVT) |  | 30 | |
| 6383808506 | Mean Value Theorem (MVT) |  | 31 | |
| 6383808507 | Rolle's Theorem |  | 32 | |
| 6383808508 | Squeeze Theorem |  | 33 | |
| 6383808510 | ƒ(x) is continuous at x = a if... |  | 34 | |
| 6383808511 | Extreme Value Theorem |  | 35 | |
| 6383808512 | Critical Points |  | 36 | |
| 6383808513 | Three types of discontinuities. |  | 37 | |
| 6383808514 | ƒ(x) is differentiable at x = a if... |  | 38 | |
| 6383808515 | Three conditions where ƒ(x) is not differentiable |  | 39 | |
| 6383808516 | Average rate of change of ƒ(x) over [a, b] |  | 40 | |
| 6383808517 | Instantaneous rate of change of ƒ(a) |  | 41 | |
| 6383808518 | d/dx ( tan⁻¹ ( x ) ) |  | 42 | |
| 6383808519 | d/dx ( sin⁻¹ ( x ) ) |  | 43 | |
| 6383808521 | d/dx ( e ^ x ) |  | 44 | |
| 6383808522 | d/dx ( ln x ) |  | 45 | |
| 6383808523 | d/dx ( a ^ x ) |  | 46 | |
| 6383808525 | d/dx ( sin x ) |  | 47 | |
| 6383808526 | d/dx ( cos x ) |  | 48 | |
| 6383808527 | d/dx ( tan x ) |  | 49 | |
| 6383808528 | d/dx ( sec x ) |  | 50 | |
| 6383808529 | d/dx ( csc x ) |  | 51 | |
| 6383808530 | d/dx ( cot x ) |  | 52 | |
| 6383808531 | Product Rule |  | 53 | |
| 6383808532 | Quotient Rule |  | 54 | |
| 6383808533 | Chain Rule |  | 55 | |
| 6383808534 | d/dx (ƒ(x)³) |  | 56 | |
| 6383808535 | d/dx ( ln ƒ(x) ) |  | 57 | |
| 6383808536 | d/dx (e ^ ƒ(x) ) |  | 58 | |
| 6383808537 | Derivative of the Inverse of ƒ(x) |  | 59 | |
| 6383808538 | Implicit Differentiation Find dy/dx: x²/9+y²/4=1 |  | 60 | |
| 6383808539 | Equation of a line in point-slope form |  | 61 | |
| 6383808540 | Equation of the tangent line to y = ƒ(x) at x = a |  | 62 | |
| 6383808541 | A normal line to a curve is... |  | 63 | |
| 6383808542 | Velocity of a point moving along a line with position at time t given by d(t) |  | 64 | |
| 6383808543 | Speed of a point moving along a line |  | 65 | |
| 6383808544 | Average velocity of s over [a, b] |  | 66 | |
| 6383808545 | Average speed of s over [a, b] |  | 67 | |
| 6383808546 | Average acceleration given v over [a, b] |  | 68 | |
| 6383808547 | An object in motion is at rest when... |  | 69 | |
| 6383808548 | An object in motion reverses direction when... |  | 70 | |
| 6383808549 | Acceleration of a point moving along a line with position at time t given by d(t) |  | 71 | |
| 6383808550 | How to tell if a point moving along the x-axis with velocity v(t) is speeding up or slowing down at some time t? |  | 72 | |
| 6383808551 | Position at time t = b of a particle moving along a line given velocity v(t) and position s(t) at time t = a |  | 73 | |
| 6383808552 | Displacement of a particle moving along a line with velocity v(t) for a ≤ t ≤ b. |  | 74 | |
| 6383808553 | Total distance traveled by a particle moving along a line with velocity v(t) for a ≤ t ≤ b | ... |  | 75 |
| 6383808554 | The total change in ƒ(x) over [a, b] in terms of the rate of change, ƒ'(x) |  | 76 | |
| 6383808555 | Graph of y = 1/x |  | 77 | |
| 6383808556 | Graph of y = e ^ (kx) |  | 78 | |
| 6383808557 | Graph of y = ln x |  | 79 | |
| 6383808558 | Graph of y = sin x |  | 80 | |
| 6383808559 | Graph of y = cos x |  | 81 | |
| 6383808560 | Graph of y = tan x |  | 82 | |
| 6383808561 | Graph of y = tan⁻¹ x |  | 83 | |
| 6383808562 | Graph of y = √(1 - x²) |  | 84 | |
| 6383808563 | Graph of x²/a² + y²/b² = 1 |  | 85 | |
| 6383808564 | L'Hopital's Rule |  | 86 | |
| 6383808565 | To find the limits of indeterminate forms: ∞ × 0 |  | 87 | |
| 6383808566 | To find the limits of indeterminate forms: 0 ^ 0, 1 ^ ∞, ∞ ^ 0 |  | 88 | |
| 6383808567 | If ƒ(x) is increasing, then a left Riemann sum ... |  | 89 | |
| 6383808568 | If ƒ(x) is decreasing, then a left Riemann sum ... |  | 90 | |
| 6383808569 | If ƒ(x) is increasing, then a right Riemann sum ... |  | 91 | |
| 6383808570 | If ƒ(x) is decreasing, then a right Riemann sum ... |  | 92 | |
| 6383808571 | If ƒ(x) is concave up, then the trapezoidal approximation of the integral... |  | 93 | |
| 6383808572 | If ƒ(x) is concave down, then the trapezoidal approximation of the integral... |  | 94 | |
| 6383808573 | If ƒ(x) is concave up, then a midpoint Riemann sum... |  | 95 | |
| 6383808574 | If ƒ(x) is concave down, then a midpoint Riemann sum... |  | 96 | |
| 6383808575 | Area of a trapezoid |  | 97 | |
| 6383808576 | If ƒ(x) is concave down then the linear approximation... |  | 98 | |
| 6383808577 | If ƒ(x) is concave up then the linear approximation... |  | 99 | |
| 6383808578 | The Fundamental Theorem of Calculus (Part I) |  | 100 | |
| 6383808579 | The Fundamental Theorem of Calculus (Part II) |  | 101 | |
| 6383808581 | ∫ x ^ n dx = |  | 102 | |
| 6383808582 | ∫ e ^ x dx = |  | 103 | |
| 6383808583 | ∫ 1/x dx = |  | 104 | |
| 6383808584 | ∫ sin x dx = |  | 105 | |
| 6383808585 | ∫ cos x dx = |  | 106 | |
| 6383808586 | ∫ sec² x dx = |  | 107 | |
| 6383808587 | ∫ a ^ x dx = |  | 108 | |
| 6383808588 | ∫ tan x dx = |  | 109 | |
| 6383808589 | ∫ 1 / (x² + 1) dx = |  | 110 | |
| 6383808590 | ∫ 1 / √(1 - x² ) dx = |  | 111 | |
| 6383808592 | The average value of f from x = a to x = b (Mean Value Theorem for Integrals) |  | 112 | |
| 6383808595 | Integral equation for a horizontal shift of 1 unit to the right. |  | 113 | |
| 6383808596 | Adding adjacent integrals |  | 114 | |
| 6383808597 | Swapping the bounds of an integral |  | 115 | |
| 6383808598 | Exponential Growth Solution of dy/dt = kP P(0) = P₀ |  | 116 | |
| 6383808599 | lim n→∞ (1 + 1/n) ^ n |  | 117 | |
| 6383808600 | Steps to solve a differential equation |  | 118 | |
| 6383808601 | To find the area between 2 curves using vertical rectangles (dx) |  | 119 | |
| 6383808602 | To find the area between 2 curves using horizontal rectangles (dy) |  | 120 | |
| 6383808603 | Volume of a disc; rotated about a horizontal line |  | 121 | |
| 6383808604 | Volume of a washer; rotated about a horizontal line |  | 122 | |
| 6383808605 | Volume of a disc; rotated about a vertical line |  | 123 | |
| 6383808606 | Volume of a washer; rotated about a vertical line |  | 124 | |
| 6383808607 | Volume of solid if cross sections perpendicular to the x-axis are squares |  | 125 | |
| 6383808608 | Volume of solid if cross sections perpendicular to the x-axis are isosceles right triangles |  | 126 | |
| 6383808609 | Volume of solid if cross sections perpendicular to the x-axis are equilateral triangles |  | 127 | |
| 6383808610 | Volume of solid if cross sections perpendicular to the x-axis are semicircles |  | 128 | |
| 6383808612 | Volume of a prism |  | 129 | |
| 6383808613 | Volume of a cylinder |  | 130 | |
| 6383808614 | Volume of a pyramid |  | 131 | |
| 6383808615 | Volume of a cone |  | 132 | |
| 6383808616 | Volume of a sphere |  | 133 | |
| 6383808617 | Surface Area of a cylinder |  | 134 | |
| 6383808618 | Surface Area of a sphere |  | 135 | |
| 6383808619 | Area of a Sector (in radians) |  | 136 | |
| 6383808620 | Slope of a parametric curve x = x(t) and y = y(t) |  | 137 | |
| 6383808621 | Horizontal Tangent of a parametric curve |  | 138 | |
| 6383808622 | Vertical Tangent of a parametric curve |  | 139 | |
| 6383808624 | Second Derivative of a parametric curve |  | 140 | |
| 6383808625 | Velocity vector of a particle moving in the plane x = x(t) and y = y(t) |  | 141 | |
| 6383808626 | Acceleration vector of a particle moving in the plane x = x(t) and y = y(t) |  | 142 | |
| 6383808627 | Speed of a particle moving in the plane x = x(t) and y = y(t) |  | 143 | |
| 6383808628 | Distance traveled (Arc Length) by a particle moving in the plane with a ≤ t ≤ b x = x(t) and y = y(t) |  | 144 | |
| 6383808629 | Position at time t = b of a particle moving in the plane given x(a), y(a), x′(t), and y′(t). |  | 145 | |
| 6383808630 | Magnitude of a vector in terms of the x and y components |  | 146 | |
| 6383808634 | Graph of θ = c (c is a constant) |  | 147 | |
| 6383808635 | Graph of r = θ |  | 148 | |
| 6383808636 | Graphs of: r = c r = c sin(θ) r = c cos(θ) (c is a constant) |  | 149 | |
| 6383808637 | Graphs of: r = sin(k θ) r = cos(k θ) (k is a constant) |  | 150 | |
| 6383808638 | Graph of: r = 1 + cos(θ) |  | 151 | |
| 6383808639 | Graph of: r = 1 + 2 cos(θ) |  | 152 | |
| 6383808640 | Slope of polar graph r (θ) |  | 153 | |
| 6383808641 | Area enclosed by r = f(θ), α ≤ θ ≤ β |  | 154 | |
| 6383808642 | Double Angle Formula for cos²θ |  | 155 | |
| 6383808643 | Double Angle Formula for sin²θ |  | 156 | |
| 6383808646 | dx/dθ < 0 |  | 157 | |
| 6383808647 | dx/dθ > 0 |  | 158 | |
| 6383808648 | dy/dθ < 0 |  | 159 | |
| 6383808649 | dy/dθ > 0 |  | 160 | |
| 6383808650 | Convert from polar (r,θ) to rectangular (x,y) |  | 161 | |
| 6383808651 | Convert from rectangular (x,y) to polar (r,θ) |  | 162 | |
| 6383808652 | Horizontal Tangent of a Polar Graph |  | 163 | |
| 6383808653 | Vertical Tangent of a Polar Graph |  | 164 | |
| 6383808656 | Integration by Parts Formula |  | 165 | |
| 6383808657 | ∫ lnx dx = ? |  | 166 | |
| 6383808658 | Improper Integral: ∫ 1/x² dx bounds: [0,1] |  | 167 | |
| 6383808659 | Improper Integral: ∫ f(x) dx bounds: [0,∞] |  | 168 | |
| 6383808660 | Arc length of a function f(x) from x = a to x = b |  | 169 | |
| 6383808661 | Arc length of a polar graph r 0 ≤ θ ≤ π |  | 170 | |
| 6383808662 | Arc Length of a graph defined parametrically with a ≤ t ≤ b x = x(t) and y = y(t) |  | 171 | |
| 6383808665 | Differential equation for exponential growth dP/dt = ? |  | 172 | |
| 6383808666 | Solution of a differential equation for exponential growth |  | 173 | |
| 6383808667 | Differential equation for decay dP/dt = ? |  | 174 | |
| 6383808668 | Solution of a differential equation for decay |  | 175 | |
| 6383808672 | Logistic differential equation dP/dt = ? |  | 176 | |
| 6383808673 | Solution of a logistic differential equation |  | 177 | |
| 6383808674 | Graph of a Logistic Function (include inflection pt.) |  | 178 | |
| 6383808675 | Euler's Method for solving y' = F (x,y) with initial point (x₀ , y₀) |  | 179 | |
| 6383808676 | Power Series for f(x) = 1 / (1 - x) (include IOC) |  | 180 | |
| 6383808677 | Power Series for f(x) = tan⁻¹ x (include IOC) |  | 181 | |
| 6383808678 | Power Series for f(x) = ln (1 + x) (include IOC) |  | 182 | |
| 6383808679 | Taylor Series for f(x) about x = 0 (Maclaurin Series) |  | 183 | |
| 6383808680 | Taylor Series for f(x) about x = c |  | 184 | |
| 6383808681 | Maclaurin Series for f (x) = e∧x (include IOC) |  | 185 | |
| 6383808682 | Maclaurin Series for f (x) = sin x (include IOC) |  | 186 | |
| 6383808683 | Maclaurin Series for f (x) = cos x (include IOC) |  | 187 | |
| 6383808684 | Error for the partial sum, Sn, of an infinite series S |  | 188 | |
| 6383808685 | Error bound of an alternating series |  | 189 | |
| 6383808686 | Lagrange error bound |  | 190 | |
| 6383808688 | Geometric sequence (def. and conv. property) |  | 191 | |
| 6383808690 | Harmonic Series (def. and conv. property) |  | 192 | |
| 6383808691 | p-series (def. and conv. property) |  | 193 | |
| 6383808692 | Divergence Test |  | 194 | |
| 6383808693 | If lim n→∞ a(sub n) = 0, then ∑ a(sub n) for n from 1 to ∞ ... |  | 195 | |
| 6383808694 | Integral Test |  | 196 | |
| 6383808695 | Alternating Series Test |  | 197 | |
| 6383808696 | Direct Comparison Test |  | 198 | |
| 6383808697 | Limit Comparison Test |  | 199 | |
| 6383808698 | Ratio Test |  | 200 | |
| 6383808699 | n-th Root Test |  | 201 | |
| 6383808700 | Interval of Convergence (IOC) |  | 202 | |
| 6383808701 | Radius of Convergence |  | 203 |
