Calc project

2. When f '(x) is positive, f(x) is
3. the absolute maxes and mins of a graph
5. area below x-axis is
7. this type of discontinuity is a hole
9. derivative of velocity
11. determined by the second derivative test
14. this acronym for splitting the area under a curve into even shapes to find area under curve
15. When f '(x) is negative, f(x) is
16. synonym for derivative
17. uv - ∫ v du
19. y' = cos(x), y =
21. When f '(x) changes from increasing to decreasing or decreasing to increasing, f(x) has a ____
24. Brackets- include end points Parentheses- do not include endpoints: _____ notation
27. a point is this when f'(x) is 0 or undefined
29. when a function has no holes or asymptotes or jumps
30. derivative of position
32. Y values of a function
37. this type of discontinuity is a VA or a jump
38. using derivatives to find maximums and minimums (word problems)
41. When f '(x) changes fro positive to negative, f(x) has a
42. this derivative test is used to find if f(x) is increasing or decreasing
43. this derivative test is used to find if f(x) is concave up or down
46. A line that touches a curve at two points: ____ line

1. y' = sec²(x), y =
4. area of _____: [(h1 - h2)/2]*b
6. to find the derivative
8. f '(g(x)) g'(x)
10. a rule for finding limits when there is indeterminate forms
12. y' = -csc(x)cot(x), y =
13. ______ Rule: uv' + vu'
15. limit as h approaches 0 of [f(a+h)-f(a)]/h
18. a rule to find derivatives of terms with exponents
19. y' = 1/x, y =
20. y' = -sin(x), y =
22. this theorem says that if f(x) is continuous on an interval, there is a max and min
23. ______ Rule: (uv'-vu')/v²
24. area under the curve
25. line that touches a curve at one point: _____ line
26. this theorem is used when f(a) = f(b) on a closed interval
27. area under a _____: ∫f(x) dx integrate over interval a to b
28. as a function approaches a point, it approaches its
31. y' = sec(x)tan(x), y =
33. If f(1)=-4 and f(6)=9, then there must be a x-value between 1 and 6 where f crosses the x-axis.
34. area above x-axis is
35. X values of a function
36. When f '(x) changes from negative to positive, f(x) has a
39. if f(x) is continuous and differentiable, slope of tangent line equals slope of secant line at least once in the interval (a, b)
40. The mathematical study of change.
43. absolute value of velocity
44. y' = -csc²(x), y =
45. ∫ f(x) dx on interval a to b = F(b) - F(a)