Across
- 8. finding the derivative of a power of a variable, xn = nxn-1
- 10. an integral which is evaluated over an interval. Used to find the area between the graph of a function and the x-axis.
- 12. in a definite integral, the bounds (or limits) of the integral.
- 14. a theorem which allows the computation of the limit of an expression by trapping the expression between two other expressions which have limits that are easier to compute.
- 15. The value that a function approaches as the domain variables approach a specific value
- 16. The x value where the derivative of a function crosses the y-axis. This may be the location of a maximum or a minimum.
- 17. an equation showing a relationship between a function and it’s derivative(s)
- 19. the change in y-value divided by the change in the x-value at two distinct points
- 21. the highest point in a particular section of a graph
- 23. the rate of change at a particular point, the same value of the derivative at a particular point.
- 29. The theorem that establishes the connection between derivatives, antiderivatives, and definite integrals.
- 30. a theorem that ensures the existence of a critical point between any two points on a function that have the same y-value
- 31. When a graph changes from decreasing to increasing
- 33. the slope of a curve, or the slope of the line tangent to a function.
- 34. The technique in finding the volume of a solid object of revolution.
- 35. a limit that has an infinite result, or a limit taken as x approaches infinity.
- 36. A line which passes through at least two points points of a curve.
- 37. Antiderivative
- 38. a theorem which guarantees the existence of an absolute max and absolute min for any continuous function on a closed interval
Down
- 1. a line that touches a curve at a point without crossing over the function. the slope of the function equals the slope of the line.
- 2. The lowest point over the entire domain of a function or relation
- 3. A hole in a graph, a place that can be repaired by filling a certain point
- 4. finding the derivative of the product of two functions. 1d2 + 2d1
- 5. The method for determining whether an inflection point (critical number) is a minimum, maximum, or neither.
- 6. a technique for finding volume of a hollow solid of revolution.
- 7. a theorem which guarantees that a continuous function has at least one point where the function equals the average value of the function
- 9. The average height of the graph of a function
- 11. When a graph changes from increasing to decreasing.
- 13. finding a derivative of y in respect of x.
- 18. A theorem verifying that the graph of a continuous function in connected
- 20. a asymptote that makes the graph discontinuous.
- 22. finding the derivative of the division of two functions. lo d hi- hi d lo over lolo
- 23. an integral with no limits of integration and does not have a numerical answer.
- 24. a method of determining whether a critical number is a point of inflection or where concavity changes.
- 25. The highest point over the entire domain of a function or relation
- 26. an integration method that substitutes parts of the integrand, takes the derivative of the part in order to get rid of other sections of the integrand.
- 27. the lowest point in a particular section of a graph
- 28. Any derivative beyond the first derivative.
- 31. A function that is connected, no holes, gaps, or asymptotes.
- 32. the derivative of a composition of functions. Don’t forget the baby!
- 39. a theorem that relates values of a function to a value of its derivative; secant line = tangent line, AROC = IROC