Across
- 2. The principal part of the change in a function with respect to change in the independent variable. (dy = f'(x)dx)
- 7. The minimum or maximum of a function for the entire closed interval or for the entire domain.
- 9. Use of the value of the second derivative (positive or negative) over an interval to determine if a critical point is a point of inflection.
- 10. Over a given interval, if x1 is less than x2, then f(x1) is also less than f(x2).
- 11. The direction of the bending or curvature of a graph, found by the value of the second derivative.
- 12. An x-value for which the function is defined and the derivative is either equal to zero or does not exist.
- 14. If a function has the same value at two different points and is continuous over the interval, it must have a point within the interval where the value of the derivative is zero.
- 15. Minimums or maximums on an open interval.
- 16. If a function is continuous and differentiable over an interval, then there is a point in that interval for which the value of the derivative is equal to the slope of the secant line over the interval.
- 18. The highest value of a function over an interval.
Down
- 1. A method of finding increasingly better numeric approximations to the zeros of a function.
- 3. Use of the value of the first derivative (positive or negative) over an interval to determine if a critical point is a relative minimum or maximum.
- 4. Selection of the best value for a variable, usually to maximize or minimize a particular dimension in a problem.
- 5. A critical point at which the graph of a function changes concavity.
- 6. Over a given interval, if x1 is less than x2, then f(x1) is greater than f(x2).
- 8. A line to which the graph of a function cintunually approaches but does not touch at any finite distance.
- 13. The lowest value of a function over an interval.
- 17. The minimum and/or maximum of a function on an interval.