Across
- 2. when f '(x) changes from positive to negative, f(x) has a
- 4. the rate of change of position with respect to time
- 5. The polar form of x =
- 9. the slope of horizontal line
- 10. What rule is this (uv'-vu')/v²
- 12. a line that is perpendicular to the tangent line at the point of tangency.
- 14. General term = 1/n^p. converges if p>1
- 15. derivative of cosx
- 16. when f '(x) is increasing, f(x) is
- 17. an integral that has limits a & b, find anti-derivative, F(b) - F(a)
- 19. the limit as h approaches 0 of [f(a+h)-f(a)]/h
- 20. what series test utilizes ... general term = a₁r^n, converges if -1 < r < 1
- 21. what rule uses trapezoids to approximate the area under the curve
- 22. which test do you plug in a(n+1) for all n: if <1, absolutely convergent; if >1, divergent; if =1 then inconclusive
- 25. which rule indicates If the limx→c (f(x)/g(x)) is indeterminate, then the limx→c (f(x)/g(x))=limx→c(f'(x)/g'(x))
- 27. a sharp point on a curve. Note: Cusps are points at which functions and relations are not differentiable.
- 28. the limit of f(x) as x approaches a from either direction is equal to f(a), as long as a is in the domain of f(x).
- 29. Who's method is used for finding successively better approximations to the roots (or zeroes) of a real-valued function.
- 32. absolute value of velocity
- 33. when f '(x) is decreasing, f(x) is
- 36. which test states if what is being compared to is large than original series converges, then series does same thing; also applies with divergence but has to be smaller than original series
- 37. what comparison test states if the limit as n goes to infinity equals c, then the series do the same thing
- 38. the set of all real numbers between two given numbers.
- 39. When f'(x) is negative, f(x) is
- 40. derivative of sinx
- 43. Alternating series converges and general term converges with another test then it Converges ...
- 44. derivative of secx
- 46. which term states if lim as n goes to infinity does not equal 0, then series diverges
- 47. Use tangent line to approximate values of the function
- 48. An integral that has no limits, find antiderivative + C, use inital value to find C
- 49. yⁿ=yⁿ⁻¹+∆x*f'(xⁿ⁻¹,yⁿ⁻¹)
- 50. which series Approximates values of f(x) at x=a
- 51. if f(x) is continuous and differentiable, slope of tangent line equals slope of secant line at least once in the interval (a, b) (Initials)
Down
- 1. a Taylor series centered at x=0
- 3. If a and b are any two points in an interval on which f is differentiable, f' takes on every value between f'(a) and f'(b) (Initials)
- 6. To approach a finite limit.
- 7. The area below the x-axis is
- 8. to fail to approach a finite limit.
- 11. a line that goes through a point on a curve with slope equal to the slope of the
- 13. the derivative of a velocity function with respect to time.
- 18. the product of a given integer and all smaller positive integers.
- 23. When f'(x) is positive, f(x) is
- 24. The slope of vertical line
- 26. what rule is this uv' + vu'
- 27. at that point.
- 30. derivative of cscx
- 31. 0/0, (0)(±∞), ∞-∞, 1^∞, 0⁰, ∞⁰
- 34. what is a technique for finding the volume of a solid of revolution.
- 35. Alternating series converges and general term converges and general term diverges with another test then it Converges ...
- 41. The polar form of y =
- 42. The area above x-axis is
- 45. when f '(x) changes from negative to positive, f(x) has a