Across
- 2. A technique for finding the volume of a solid of revolution; a generalized version of the disk method.
- 5. A point at which the graph of a relation or function is not connected.
- 6. A method for finding the derivative of a composition of functions.
- 8. An iterative process using derivatives that can often (but not always) be used to find zeros of a differentiable function.
- 10. The branch of mathematics dealing with limits, derivatives, definite integrals, indefinite integrals, and power series.
- 11. The x-value of a critical point.
- 14. The formula for finding the derivative of a power of a variable.
- 15. The opposite of the derivative of a function.
- 18. A discontinuity for which the graph steps or jumps from one connected piece of the graph to another.
- 21. A series with a constant ratio between successive terms.
- 22. Another term for 2nd derivative.
- 23. Another term for velocity.
- 25. A function which gives the slope of a curve; that is, the slope of the line tangent to a function.
- 29. Using u-substitution to find antiderivative.
- 31. A line which passes through at least two points of a curve.
- 33. The lowest point in a particular section of a graph.
- 37. A function (or relation) written using (x, y) form.
- 39. The integral of a function.
- 41. Another term for third derivative.
- 43. A method for approximating a definite integral using linear approximations of f.
- 44. Another name for the 2nd derivative.
- 45. An integral which is evaluated over an interval of specific numbers.
- 46. A technique used to evaluate limits of fractions that evaluate to the indeterminate expressions, which is done by finding the limit of the derivatives of the numerator and denominator.
- 47. To fail to approach a finite limit.
- 49. A model for decay of a quantity for which the rate of decay is directly proportional to the amount present.
Down
- 1. A formula for the derivative of the product of two functions.
- 3. The lowest point over the entire domain of a function or relation.
- 4. The value that a function or expression approaches as the domain variable(s) approach a specific value.
- 7. Letter of the Greek alphabet meaning "change".
- 9. A formula used to integrate the product of two functions.
- 12. An approximation of a definite integral.
- 13. Another term for jerk.
- 16. A line that touches a curve at a point without crossing over.
- 17. A model for growth of a quantity for which the rate of growth is directly proportional to the amount present.
- 19. The integral of one function minus another.
- 20. The highest point in a particular section of a graph.
- 24. A point (x, y) on the graph of a function at which the derivative is either 0 or undefined.
- 26. A curve that is smooth and contains no discontinuities or cusps.
- 27. The family of functions that have a given function as a common derivative. The indefinite integral of f(x) is written∫ f(x) dx.
- 28. A three-dimensional figure.
- 30. The change in the value of a quantity divided by the elapsed time.
- 32. To approach a finite limit.
- 34. A line or curve that the graph of a relation approaches more and more closely the further the graph is followed.
- 35. Another term for acceleration.
- 36. The way to get the antiderivative of a function is to take its "blank"
- 38. A formula for the derivative of the quotient of two functions.
- 40. Used in integration by substitution.
- 42. This is done by finding the limit of the derivatives of the numerator and denominator.
- 48. A shape or solid which has an indentation or "cave".
- 50. A sharp point on a curve; functions with one are not differentiable.