Across
- 1. a horizontal line that is not part of a graph of a function but guides it for x-values far to the right and/or far to the left
- 5. A function whose second derivative is positive
- 11. a graphical representation of the solutions to a first-order differential equation[2] of a scalar function
- 13. the line which represents the average rate of change of a function
- 15. the _____ of integration is the
- 16. the portion of a solid (normally a cone or pyramid) that lies between one or two parallel planes cutting it.
- 17. The ______ line is the line perpendicular to the tangent line
- 19. phi,logarithmic spiral
- 21. the point on a closed function with the lowest value
- 23. derivative of position function, v(x)
- 24. A point or set of points in a function whose slope is undefined
- 27. a quantity representing the power to which a fixed number must be raised to produce a given number
- 30. second derivative of position, a(x)
- 31. the branch of mathematics that deals with the finding and properties of derivatives and integrals of functions
- 32. Instantaneous Rate of Change
- 34. the formula used to find the derivative of a function divided by another
- 35. A procedure for finding the volume of a solid of revolution by treating it as a collection of thin slices with circular cross sections
- 36. the point on an closed function with the highest value
- 39. the space in a 2 dimensional figure
- 41. the point on an open function with the highest value
- 42. function of one real variable is a function whose derivative exists at each point in its domain
- 43. the value of a function as it approaches an x value
- 46. the value of a function from the left side of the x-value
- 47. e, 2.71828
- 48. the formula used to find the derivative of a function inside of another function
- 49. the distance a value is from 0
- 50. a function is ______ is it has no discontinuities
Down
- 2. A point where a function's second derivative changes sign
- 3. theorem states that if f(x)≤g(x)≤h(x) for all numbers, and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them
- 4. the formula used to find the derivative of 2 functions multipled together
- 6. The shape taken by something flexible suspended from two points
- 7. finding maximum and minimum values given constraints using calculus
- 8. summation notation
- 9. A function defined by multiple sub-functions that apply to certain intervals of the function's domain
- 10. value of a function from the right side of the x-value
- 12. anti-derivative
- 14. A function whose second derivative is negative
- 18. A point where a function's derivative is equal to 0 or is undefined
- 20. the calculus theory which states that all functions that are continuous have an absolute minimum and maximum
- 22. A ______ integral is an itegral with defined bounds
- 25. s(x),where a particle is in space
- 26. the slope of the tangent line, of the tangent line
- 28. a _____ discontinuity is a hole in a function that can be factored out when finding it's derivative
- 29. number of times a circles diameter can fit in its circumference
- 33. slope of the tangent line
- 37. to combine all of the like terms in an equation together
- 38. the point on an open function with the lowest value
- 40. that cannot be solved for in indefinite integration, 'c'
- 44. an approximation of the area under a function using rectangles
- 45. An infinite series whose terms alternate between positive and negative