Calculus Terms

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Across
  1. 6. A point on a graph where the concavity changes
  2. 7. The smallest possible value a function can take on
  3. 8. A rule used to find the derivative of the multiplication of two functions
  4. 10. The direction a graph opens
  5. 12. A method for finding the derivative of a function where the dependent and independent variables are not explicitly separated
  6. 13. The highest and lowest points on a graph
  7. 14. The rate of change of a function at a specific point
  8. 18. A function that reverses differentiation
  9. 19. The value a function approaches as the input approaches a certain value
  10. 20. A logarithm with base e
  11. 21. The set of all possible output values for a function
  12. 22. A theorem that states that a function will have at least one point where the average rate of change is equal to the instantaneous rate of change
  13. 24. A line that touches a graph at a single point and shares the slope at that point
  14. 26. A point on a graph where the derivative is equal to zero
  15. 28. A theory of calculus that relates the definite integral and the antiderivative
  16. 29. A vertical line that a function approaches but does not cross
  17. 31. A method for approximating the definite integral of a function
  18. 33. The area under a graph of a function over a specified interval
  19. 35. The set of all possible input values for a function
Down
  1. 1. The rate at which an object's velocity changes
  2. 2. A rule used to find the derivative of the division of two functions
  3. 3. A test used to determine whether a point of extrema is a maximum or minimum of a function
  4. 4. A horizontal line that a function approaches but does not cross
  5. 5. A line perpendicular to a tangent line at a point on a graph
  6. 9. Finding the maximum or minimum value of a function
  7. 11. A rule used to find the derivative of a composite function
  8. 15. A numerical method for approximating differential equations
  9. 16. The process of finding the area under a curve
  10. 17. The rate of change of a function at a specific instant
  11. 21. A theorem that states that if a function is continuous on an interval and differentiable on the interior of that interval, then there exists at least one point where the derivative is zero
  12. 23. A test used to determine the local extrema of a function
  13. 25. A function that can be drawn without lifting the pencil
  14. 27. The area under a curve
  15. 30. The largest possible value a function can take on
  16. 32. A measure of an object's change in position over time
  17. 34. A Theory that relates integrals and derivatives