Across
- 1. The rate of change of velocity over time
- 3. The process of using the first derivative and second derivative to graph a function or relation
- 7. The rate of change of the position of an object
- 9. An integration method that essentially involves using the chain rule in reverse using 'u'
- 12. A major theorem of calculus that relates values of a function to the value of its derivative
- 15. Varying in such a way that it either never decreases or never increases
- 16. A theorem of calculus that ensures the existence of a critical point between any two points on a 'nice' function that has the same y-value
- 21. The change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y-value divided by thechange in the x-value for two distinct points on the graph
- 23. A graph or part of a graph that looks like a right-side-up bowl or part of a right-side-up bowl
- 25. A point (x,y) on the graph of a function at which the derivative is either 0 or undefined
- 27. The process of finding an integral, either a definite integral or an indefinite integral
- 30. A theorem verifying that the graph of a continuous function is connected
- 32. A line or curve that the graph of a relation approaches more and more closely the further the graph is followed
- 33. A function that gives the slope of a curve: that is, the slope of the line tangent to a function
- 34. The lowest point in a particular section of a graph
- 37. Either a limit from the left or a limit from the right
- 41. A "number" that indicates a quantity, size, or magnitude that is larger than any real number
- 44. An extreme value of a function. In other words, the minima and maxima of a function. May be relative or absolute
- 46. A method for determining whether a critical point is a minimum, maximum, or neither
- 47. An integral which is evaluated over an interval
- 48. A point at which the graph of a relation or function is not connected
- 49. A discontinuity for which the graph steps or jumps from one connected piece of the graph to another
- 50. The family of functions that have a given function as a common derivative
Down
- 2. A removable discontinuity is a point on the graph that is undefined or does not fit the rest of the graph
- 4. A technique for finding the volume of a solid of revolution
- 5. The highest point over the entire domain of a function or relation
- 6. A point at which a curve changes from concave up to concave down
- 8. A graph or part of a graph that looks like an upside-down bowl or part of an upside-down bowl
- 10. The change in the value of a quantity divided by the elapsed time
- 11. A class of problems in which rates of change are related by means of differentiation
- 13. The magnitude of a real number without regard to its sign
- 14. A formula for the derivative of the product of two functions
- 17. An approximation of the definite integral. Has three methods: Left, Right, and Trapezoidal
- 18. A line about which a plane figure is rotated in three-dimensional space to create a solid or surface
- 19. The lowest point over the entire domain of a function or relation
- 20. d/dx f(g(x))=f'(g(x))g'(x)
- 22. A function that has a given function as its derivative
- 24. Theorem of Calculus The theorem that establishes the connection between derivatives, antiderivatives, and definite
- 26. A method for determining whether a critical point is a relative minimum or maximum
- 28. A technique for finding the volume of a solid of revolution. This method is a specific case of volume by parallel cross-sections
- 29. The value that a function or expression approaches as the domain variables approach a specific value
- 31. A line that touches a curve at a point without crossing over. Formally, it is a line that intersects the differentiable curve at a point where the slope of the curve equals the slope of the line
- 35. A method for finding the derivative of an implicitly defined function or relation
- 36. The unbroken and consistent existence or operation of something over a period of time
- 38. A technique used to evaluate limits of fractions that evaluate indeterminate expressions. This is done by finding the limit of the derivatives of the numerator and denominator
- 39. A formula for the derivative of the quotient of two functions
- 40. A tiny or infinitesimal change in the value of a variable
- 42. A circle of unit radius that is, a radius of 1
- 43. The highest point in a particular section of a graph
- 45. A technique for finding the volume of a solid of revolution. A generalized version of the disk method