Across
- 6. Line – A line perpendicular to the tangent.
- 8. Riemann Sum – Using midpoints of intervals.
- 10. Rule – Numerical method using trapezoids to estimate integrals.
- 15. Riemann Sum – Using left endpoints to estimate area.
- 18. Rule – Rule for differentiating composite functions.
- 19. – The direction a curve bends.
- 20. Distance – Integral of speed (absolute value of velocity).
- 22. Integral – Integral with limits; gives a number.
- 27. Field – Graph showing slopes of solutions to a differential equation.
- 28. Discontinuity – Hole in the graph; can be fixed.
- 30. – Always increasing or always decreasing.
- 32. Maximum – Highest point on the entire graph.
- 34. Integral – General antiderivative; includes a constant.
- 36. – Integration method using change of variables.
- 38. – The value a function approaches as the input approaches a value.
- 39. Line – A line that touches a curve at a point and has the same slope.
- 41. Point – Where the derivative is zero or undefined.
- 43. – The accumulation of quantities; area under a curve.
- 44. Function – Function describing location over time.
- 45. Up – Curve opens upward; second derivative is positive.
- 47. Riemann Sum – Using right endpoints to estimate area.
- 48. Value Theorem – Guarantees a point with instantaneous rate of change equal to average rate.
- 49. Minimum – Lowest point in a small interval.
- 50. Theorem of Calculus – Connects derivatives and integrals.
Down
- 1. Minimum – Lowest point on the entire graph.
- 2. – Change in position; integral of velocity.
- 3. Differentiation – Differentiating both sides of an equation involving x and y.
- 4. Sum – Approximation of area under a curve.
- 5. Down – Curve opens downward; second derivative is negative.
- 7. – A function whose derivative is the original function.
- 9. Maximum – Highest point in a small interval.
- 11. Rule – Rule for differentiating products of functions.
- 12. Rule – Solves indeterminate forms using derivatives.
- 13. Function – Derivative of position.
- 14. Discontinuity – Vertical asymptote.
- 16. Function – Positive derivative.
- 17. Function – Derivative of velocity.
- 21. – A function is continuous if it has no breaks, holes, or jumps.
- 23. Function – Negative derivative.
- 24. – The instantaneous rate of change of a function.
- 25. – Line the graph approaches but never touches.
- 26. Equation – Differential equation that can be separated into two integrals.
- 29. Theorem – Special case of MVT when function has equal values at two points.
- 31. Point – Where concavity changes.
- 33. – Finding max/min under given constraints.
- 35. Value Theorem – Guarantees a function has absolute max/min on a closed interval.
- 37. Equation – Equation involving derivatives.
- 40. Discontinuity – Sudden jump in values.
- 42. Value – Mean value of a function over an interval.
- 46. Rule – Rule for differentiating quotients of functions.