Calculus Crossword

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Across
  1. 4. Graphical representation of a differential equation.
  2. 6. Where the concavity of a function changes.
  3. 7. Integral without bounds; includes a constant of integration.
  4. 8. – The derivative at a point; rate of change.
  5. 9. When the graph of a function opens upward.
  6. 11. The area under a curve; the antiderivative of a function.
  7. 15. The value a function approaches as the input approaches a value.
  8. 17. Used to evaluate limits of indeterminate forms.
  9. 19. Used to differentiate products of two functions.
  10. 20. Expression involving a function’s derivative and a small change in input
  11. 22. A technique for finding integrals by substitution.
  12. 23. A line that a graph approaches but never touches.
  13. 25. A rule for computing the derivative of a composite function.
  14. 26. A numerical method for solving differential equations.
  15. 28. Where the derivative is zero or undefined.
  16. 29. Guarantees a point where the instantaneous rate equals the average rate.
  17. 30. The derivative of velocity; the second derivative of position.
Down
  1. 1. Describes location as a function of time.
  2. 2. A function is continuous if it has no breaks, holes, or jumps.
  3. 3. When the graph of a function opens downward.
  4. 5. Integral with upper and lower bounds, representing area.
  5. 10. A line that just touches a curve at a point and has the same slope.
  6. 12. A function whose derivative is the given function.
  7. 13. A line perpendicular to the tangent line at a point.
  8. 14. Used to differentiate quotients of two functions.
  9. 16. A method to approximate area under a curve using trapezoids.
  10. 18. An approximation of an integral using finite sums.
  11. 21. The derivative of position with respect to time.
  12. 24. The rate at which a function is changing at any point.
  13. 27. A function has a derivative at every point in its domain.