Across
- 3. name of the symbol in front of a series
- 4. acronym for the slope of the tangent line at a point on a graph
- 6. if f(0) = 0 and f(5) = 2 there must be a value c on 0<c<5 where f(c) = 3
- 8. point where f''(x) = 0 and chages signs
- 10. a coordinate system that uses r and θ
- 11. the function inside of an integral
- 12. value of a function at a vertical asymptote
- 15. the set of inputs accepted by a function
- 16. a particle is moving right when the velocity is _____
- 18. calculus rule used by multiplying the derivative of the inside function by the derivative of the inside function
- 21. infinite polynomial series centered around x=0
- 24. slope of vertical line
- 26. a graph with a straight line drawn at each point to represent the derivative at that point
- 28. rate of change of a function with respect to a variable
- 29. test used to determine the continuity of an alternating series
- 30. rule used to find the limit of a ratio in the indeterminate form.
Down
- 1. when the limit as the function approaches either side of a point are different
- 2. you find this asymptote by finding the limit as x approaches infinity
- 5. when f'(x) = 0 and chages signs
- 7. acronym for the test used to determine convergence of a series by comparing it to a larger or smaller series
- 9. the area under a graph
- 13. method of approximating the value of an integral using rectangles
- 14. test used to find the convergence of a series using a square root
- 17. whether a function is curving up or down
- 19. acronym for the slope of the straight line between two points
- 20. a discontinuity is _____ when there is a hole in the function
- 22. the set of all possible outputs of a function
- 23. rule for finding the derivative of a ratio
- 25. method of estimating the value of a function using initial value and derivative
- 27. a series that continues to grow indefinitely