AP Calc Midterm

3. function that is not continuous
4. any limit on one side of a function
8. function appearing as a straight line
11. multiple variables with relationships to each other
16. the critical point at the bottom or top of a hill, but not absolute
19. d/dx f(g(x))=(f'(g(x))g'(x))
20. when a limited derivative=0/0
21. -1/1+x^2
22. function with no breaks in the line
23. denominator grows faster
24. d/dx sinx
26. 1/square root of 1-x^2
29. f'(x)=nx^(n-1)
30. gain/change in speed over time
33. d/dx cotx
35. removable discontinuity
36. a relationship between one or more variables
38. vertical lines that grow without touching the function
43. d/dx cscx
44. set of inputs accepted by a function
45. average rate of change
47. if function f is coninuous over (a,b) and differential over interval (a,b) then a point c exists
49. finding the derivative of the ratio of 2 functions
50. break in a function, non removable discontinuty

1. concave up
2. d/dx cosx
5. an infinitely small change in a varying quantity
6. highest point on the entire graph
7. a quantity representing the power needed to get a certain value
9. instantaneous rate of change
10. h'(x)=(f(x)g'(x))+(f'(x)g(x))
12. numerator grows faster
13. concave down
14. f^3(x)
15. speed in a given direction
17. function defined by 2 or more equations
18. 1/|x|square root of x^2-1
25. -1/|x|square root of x^2-1
27. Numerator and denominator grow equally
28. horizontal lines that grow without touching the function
31. increase becoming more and more rapid
32. assigns numbers to functions to decribe concepts
34. 1/ 1+x^2
37. if function f is continuous, then f has at least 1 minimum and maximum value
39. d/dx secx
40. confirming the limit of a function by comparing it with 2 other easier functions
41. -1/square root of 1-x^2
42. continous function f with interval (a,b), the domain takes any value that is not continuous
46. calculator solution for derivatives
48. d/dx tanx