AB Calculus Crossword

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