calc crossword

2. a way to write functions as a series, used by calculators to compute complicated functions
5. derivative of sine
7. the function used by architects when designing the St. Louis Arch
10. test of convergence for series written as 1/np
11. Rule used to find the derivative of two multiplied functions
15. When f(x) switches concavity, there is an ____________
17. method to find volume rotated around an axis multiplied by pi
19. antiderivative with bounds
21. (1/(b-a))*∫baf(x)dx is the ____________ rate of change
23. When f’’(x) is positive, f(x) is _________
25. integral of 1/(1+x2)
26. a group of functions used as coordinates, such as (x,y) coordinates made from functions based on t

1. A point where f’(x) goes from negative to positive
3. taylor series centered around the origin (c=0)
4. The value of f’(x) at a certain point on a graph
6. method to find indeterminate limits
8. the reverse derivative operation
9. the integral of an acceleration-time graph gives ___________
12. ratio of n+1th term to nth term as n approaches infinity, if lim < 1, series converges
13. use rectangles with right-endpoints to estimate area under the curve of a function
14. a value that f(x) approaches as x approaches some value
16. ∫udv = uv - ∫vdu
18. the ____________ value theorem says that there is at least one point f(c) for every value between f(a) and f(b)
20. coordinate system using angle and distance from origin
22. slope of the line tangent to a point is the _____________ rate of change
24. rate of change of a function