Across
- 2. Used to classify critical points and determine concavity
- 3. A function is this when its derivative is negative on an interval
- 4. Finding the maximum or minimum value of a function in context
- 6. Where the derivative equals zero or is undefined
- 11. Type of discontinuity that can be fixed by redefining one point
- 12. Differentiation technique used when y is not isolated on one side
- 13. The quality of curving upward or downward, determined by the second derivative
- 15. The ratio of rise to run; the steepness of a line or tangent line
- 17. A point where the concavity of a function changes sign
- 18. Numerical integration rule using trapezoids instead of rectangles
- 19. Differentiation rule used when one function is composed inside another
- 21. The accumulation of quantities; the area under a curve
- 23. Type of discontinuity where left and right limits exist but differ
- 24. This value theorem guarantees a function hits every value between two outputs
- 26. Type of maximum or minimum over the entire domain of a function
- 30. Rule for differentiating a fraction of two functions
- 32. Type of sum used to approximate the area under a curve with rectangles
- 35. A break, hole, or jump in the graph of a function
- 36. Type of maximum or minimum occurring in a small neighborhood of a point
- 37. The value a function approaches as x gets closer to a given point
- 38. Type of discontinuity involving a vertical asymptote
Down
- 1. The instantaneous rate of change of a function at a point
- 5. Rule used to evaluate indeterminate forms like 0/0 or infinity/infinity
- 7. A function whose derivative gives back the original function
- 8. This theorem of calculus connects differentiation and integration
- 9. A function is this if its derivative exists at every point in its domain
- 10. Type of rates problem involving multiple variables changing over time
- 14. Approximating a curve near a point using the tangent line
- 16. Rule used to differentiate the product of two functions
- 20. Line connecting two points on a curve
- 22. The maximum and minimum values of a function
- 25. A function is this when its derivative is positive on an interval
- 26. A line that a curve approaches but never touches
- 27. Theorem used to find a limit by trapping a function between two others
- 28. Theorem guaranteeing a point where instantaneous rate equals average rate
- 29. Line that touches a curve at exactly one point with the same slope
- 31. The shape of a curve that opens upward, like a bowl right-side up
- 33. Line perpendicular to the tangent line at a given point
- 34. Property of a function with no breaks, holes, or jumps on an interval