Across
- 4. An area approximation method using trapezoids instead of rectangles
- 6. A point where the function changes from decreasing to increasing
- 9. Distance The integral of the absolute value of velocity
- 12. A point where the function changes from increasing to decreasing
- 13. Theorem A special case of the Mean Value Theorem where the average rate of change is zero
- 15. Net change in position; ∫ velocity
- 16. (1/(b-a)) ∫ f(x) dx
- 20. A function is if its derivative is positive
- 24. The instantaneous rate of change of a function; slope of the tangent line
- 27. A function whose derivative is the given function
- 28. A rule for differentiating the product of two functions
- 30. Integral The general antiderivative of a function
- 31. Endpoint The Riemann sum using the left ends of subintervals
- 32. A rule for differentiating the quotient of two functions
- 33. The value a function approaches as the input approaches a certain value
- 35. The Riemann sum using the midpoint of subintervals
- 36. Point A point where the derivative is zero or undefined
- 37. A method to find volume using circular cross-sections perpendicular to the axis
- 39. The location of a particle at a given time
- 40. The derivative of position; rate of change of position
- 41. Rule A method to evaluate limits involving indeterminate forms
Down
- 1. A rule for computing the derivative of a composite function
- 2. Theorem The theorem that connects derivatives and integrals
- 3. Sum An approximation of area using rectangles
- 5. Differentiation A method for finding derivatives by taking logarithms of both sides
- 7. Differentiation A method to find dy/dx when y is not isolated
- 8. Field A graphical representation of a differential equation
- 10. Rates A method to find the rate of change of one variable in terms of another
- 11. The direction a curve bends; determined by the sign of the second derivative
- 14. Between Curves The integral of the top function minus the bottom function over an interval
- 15. A function is if its derivative is negative
- 16. The derivative of velocity; second derivative of position
- 17. A method for volume involving a hole in the solid
- 18. A function is differentiable if it has a derivative at every point in its domain
- 19. The accumulation of quantities; area under a curve
- 21. Equation A differential equation that can be written as f(y)dy = g(x)dx
- 22. If a function is continuous and differentiable, then at some point, the derivative equals the average rate of change
- 23. Condition: A known value used to solve for C in an antiderivative
- 25. Integral The signed area under a curve between two bounds
- 26. A method for finding integrals using a change of variable
- 29. A function is continuous if there are no breaks, jumps, or holes in its graph
- 34. Point A point where the concavity of a function changes
- 38. Endpoint The Riemann sum using the right ends of subintervals