Across
- 3. For f(x) to be a ___ at x=q, the following conditions must be met; f(a) exists, lim f(x) exists, and lim f(x)=f(a)
- 9. The denominator grows faster not as big/ super duper Big number
- 11. The part of the graph where both sides are headed in a negative direction
- 12. The line tangent of the curve of f(x) at x=a can be represented in point-slope form
- 14. The highest point of the function
- 16. unchanging
- 18. f'(c)= f(b)-f(a)/b-a
- 22. x^2+y^2=4
- 27. A line that touches a curve at one point
- 30. y=√(4-x^2)
- 32. f'(x)
- 34. h(x)=f*g h'(x)=f*g'+f'*g
- 36. Gves points of inflection
- 38. distance an object travels.
- 39. The highest point of the function reletive to it area
- 41. A point on the graph where the slope is either 0 or undefined
- 42. if a function is continuous on [a, b], and if L is any number between f(a) and f(b), then there must be a value, x = c, where a < c < b, such that f(c) = L.
- 43. defined not by a single equation, but by two or more
- 44. Slope of a function
- 45. A point where the graph is at an peak or valley
- 46. The lowest point of the function reletive to its area
- 47. This limit at a higher degree does not exist, If the denominator is at a higher degree = 0
- 48. y'=dy/dx
Down
- 1. When a limit equals 0 inthe top and bottom find the derivitive useing this rule
- 2. An interval is sufficiently small for a tangent line to closely approximate the function over the interval.
- 4. lim f(a+h)-f(a) / h
- 5. f(a+h)-f(a) / (a+h)-a
- 6. If g(x) ≤ f(x) ≤ h(x) and if lim g(x) =L and lim h(x) = L then lim f(x) = L
- 7. f(x)=x⌃n f'(x)=nx⌃n-1
- 8. h(x)=f/g h'(x)=g*f'-f*g'/g^2
- 10. The derivative of Position
- 13. f(x), f^-1(y)
- 15. sin^-1(x), cos^-1(x), tan^-1(x)
- 17. The lowest point of the function
- 19. The requirements for _ are; the derivative exists for each point in the domain, The graph must be a smooth line or curve for the derivative to exist.
- 20. The part of the graph where both sides are headed in a positive direction
- 21. Taking the derivative of a derivative
- 23. the point at which a maximum or minimum value of the function is obtained
- 24. A point at which a graph is connected.
- 25. As x aproaches_ f(x) aproaches _
- 26. Rates of change are related by differentiation
- 28. the branch of mathematics that deals with the finding and properties of derivatives and integrals of functions
- 29. The derivative of Velocity
- 31. If a function f is continuos over the interval [a,b], then f has at least one minimum value and at least one one maximum value an[a,b]
- 33. lim f(x) exists, but f(x) ≄ f(c)
- 35. A point on the graph where it is not continuous
- 37. Steepness of a graph
- 40. _ is the y-value a function approaches as you approach a given x-value from either the left or right side
- 41. f'(g(x))g'(x)