AB Calculus Crossword

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Across
  1. 5. (∆x/∆t)
  2. 6. If f’ does not change sign at c (f’ has the same sign on both sides of c) then f has no local ____ value.
  3. 7. (2π/b) describes this
  4. 12. the length of a rectangle increases by 5 cm/sec and the width decreases by 2 cm/sec. Is the area increasing or decreasing when length=7 cm and width=4 cm
  5. 14. (a,b)
  6. 16. Calculator function used to find derivative
  7. 17. Suppose u and v are functions of x that are differentiable at x=0, and that u(0)=5, u‘(0)= -3, v(0)= -1, v’(0)=2. Find d/dx(uv)
  8. 19. theorem
  9. 20. instantaneous rate of change
  10. 23. y=mx+b
  11. 25. if f “(x)>0
  12. 26. where one-sided limits exist but have different values
  13. 31. This is an example of f(x)=cos(x^3); f ’(x)= -3x^2(sin(x^3))
  14. 32. ln(x/x)=?
  15. 33. another name for the Fundamental Theorem of Calculus
  16. 43. if f ‘(x)=(1/(1+x^2)), then f(x)=?
  17. 46. when a function is differentiable at a point a that closely resembles its own tangent line very close to a
  18. 50. The largest segment of a partition
  19. 53. F=kx
  20. 55. problems involving the relationship between two or more rates
  21. 56. “The limit does not exist!!”
  22. 58. a^2+b^2=c^2
  23. 59. when marginal revenue equals marginal cost
  24. 60. The third derivative of position
  25. 61. Find y’ of y=ln(secx+tanx)
Down
  1. 1. LRAM,MRAM,RRAM
  2. 2. y=y0e^kt
  3. 3. Δx=x2-x1 and Δy=y2-y1
  4. 4. (LRAM+RRAM)/2)=
  5. 8. Absolute value of position
  6. 9. The ______ dx is an independent variable and the _____ dy = f ‘(x)dx
  7. 10. Change in concavity
  8. 11. a point near which the function values oscillate too much for the function to have a limit
  9. 13. [a,b]
  10. 15. the line about which a solid of revolution is generated
  11. 18. Application of local linearity used to graph a solution without knowing its equation
  12. 21. If velocity is positive and decreasing, then speed is _____
  13. 22. ((absolute max of f-absolute min of f)/2)
  14. 24. Reimann sum using midpoints
  15. 27. circle with radius of 1
  16. 28. if function f(x) has a derivative, it is ______
  17. 29. when maximizing or minimizing some aspect of the system being modified
  18. 30. Deriving an equation with two variables is __________ differentiation
  19. 34. the process of finding a curve to fit data
  20. 35. L(x)=f(a)+f ‘(a)(x-a)
  21. 36. If the function is concave down and you are finding LRAM, the area under the curve is a _______
  22. 37. a function y=f(x) that is continuous on [a,b] takes on every value between f(a) and f(b)
  23. 38. T-Ts=(T0-Ts)e^-kt
  24. 39. (ln2/k)
  25. 40. If a function is continuous on [a,b] and differentiable on (a,b), then there exists a point c on (a,b) where f ‘(x)=((f(b)-f(a))/(b-a))
  26. 41. If f ‘(c)=0 and f “(x)<0, then f has a ______ at x=c
  27. 42. where the function is continuous but not differentiable
  28. 44. If f “(x)>0 and you are finding LRAM, its an _____
  29. 45. the easiest way to do separation by parts
  30. 47. a point that is extremely essential ( if f ‘(x)=0, where x=?)
  31. 48. The definite integral of the force times distance over which the force is applied
  32. 49. notation
  33. 51. rule f(x)=x^n , f ‘(x)=nx^n-1
  34. 52. If velocity is positive and speed is decreasing, then acceleration is _____
  35. 54. ∆f=f(a+dx)-f(a)
  36. 57. the function reflected over the line y=x