Calculus Final

Edit Answers
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950
Across
  1. 2. the state of being continuous
  2. 3. 1/1+x²
  3. 6. method used ti solve differential equations
  4. 7. f'(x) or how the derivative of f is written
  5. 10. a point where an object rotates
  6. 11. The number that a function is approaching as x approaches a particular value from the left
  7. 15. a graph is concave up when f¨(x) is ___ than 0
  8. 16. In a limit, when the denominator equals 0, the limit is ___
  9. 17. x values
  10. 20. A line that touches a curve at a point without crossing the curve
  11. 21. the number that a function is approaching as x approaces a paticular value from the right
  12. 23. A technique used to evaluate limits of fractions that evaluate to the indeterminate expressions and . This is done by finding the limit of the derivatives of the numerator and denominator
  13. 24. highest point in a graph
  14. 26. theorem for instantaneous rate of change
  15. 29. derivative of tanx
  16. 30. A function that has different equations that describe the value of the function over different parts of the domain
  17. 31. the point where the tangent line intersects the curve
  18. 34. used to determine whether you have a relatvive max or min on an interval
  19. 37. f'(x)g(x) + f(x)g'(x)
  20. 38. what is the limit of the function 4x-2 as x approaches 4
  21. 39. a graph is concave down when f¨(x) is ___ than 0
  22. 40. the __ rule is usually used for a single variable raised to a power(derivatives)
  23. 42. In a limit, as f(x) approaches a different number from the right side than it approaches from the left side makes the limt to ___
  24. 45. the rate of change of a function with respect to a variable
  25. 46. A line segment between 2 points on a curve.
  26. 47. A process that maximizes or minimizes a quantity
  27. 49. The point where the concavity of a function changes
  28. 50. Antiderivative of 5
Down
  1. 1. 1/f´(f⁻¹(x))
  2. 4. [f´(x)g(x) - f(x)g´(x)]/[g(x)]²
  3. 5. derivative of cotx
  4. 8. point where a function ends
  5. 9. Which way a curve is bowed or cupped
  6. 11. point on graph where there is a valley or peak
  7. 12. s(t)
  8. 13. x value where there is a max, min, or change of graph shape
  9. 14. the value of f(x) as the function approaches a certain number, x
  10. 18. y values
  11. 19. process of finding a derivative
  12. 22. the ___ method is a method for calculating the volume of a solid of revolution of a solid-state material when integrating along an axis "parallel" to the axis of revolution
  13. 24. -1/x²+1
  14. 25. average rate of change
  15. 27. A line or curve that the graph of a relation approaches more and more closely the further the graph is followed
  16. 28. derivative of x³
  17. 32. s¨(t)
  18. 33. an indefinite integral
  19. 35. lowest point in a graph
  20. 36. if f(x) is continuous on [a,b], the f(x) has min and max values
  21. 41. when [f(g(x))]; f´(g(x))g´(x)
  22. 43. this theorem states that if f is a continuous function whose domain contains the interval [a, b], then it takes on any given value between f(a) and f(b) at some point within the interval
  23. 44. s´(t)
  24. 48. derivative of sinx