AP Calculus Crossword Review

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Across
  1. 2. This extrema exists when f'(x) changes signs from + to -.
  2. 10. A curve that is represented by f(x).
  3. 12. Finding an equation for the slope of the line is called taking the _____.
  4. 14. This exists when f''(x) = 0 or undefined and changes signs.
  5. 15. 2 sets of terms that have an "=" sign equating them.
  6. 17. The ____ of a 3-Dimensional shape can be calculated with the disk, washer, and shell method.
  7. 18. The portion of math that involves deriving, integrating, etc.
  8. 19. The derivative of speed that determines directional speed of a particle.
  9. 21. This extrema exists when f'(x) changes signs from - to +.
  10. 22. When a series results in a number > 1 for the nth term test, it has _____.
  11. 25. A string of numbers that are all added together to prove convergence or divergence.
  12. 27. If a function at a point has an existing limit, both sides approach the existing limit, and that point is equal to the limit then the function is considered _____.
  13. 28. When a series contains a p-series with an exponent greater than 1, it is said to have _____.
  14. 29. This function is represented on a circular graph with an angle and radius.
Down
  1. 1. If the denominator of a function contains a factor of (x+1), it will approach a vertical _____ at x=-1.
  2. 2. This type of power series is centered about x=0.
  3. 3. This is calculated with partial sums and is represented with sigma.
  4. 4. As x approaches infinity, you are calculating the ____ of a function.
  5. 5. The second derivative of f(x) determines the _____ of a function.
  6. 6. Taking the ____ of a curve will give you the area under the curve.
  7. 7. A string of numbers that aren't added together.
  8. 8. The derivative of the ____ of f(x) is 1/(f'(f^(-1)(x)))
  9. 9. This type of a function relates both x and y with a third variable; "t".
  10. 11. This type of growth increases most rapidly at half of the carrying capacity.
  11. 13. The second derivative of speed.
  12. 15. Maximums and minimums are both different kinds of _____.
  13. 16. If a line only intersects a curve at one point, it is said to be ____ with the curve at this point.
  14. 20. This type of series will converge if |r|<1.
  15. 23. f(x) has a _____ point if f'(x)=0 (or undefined) and changes signs.
  16. 24. This method is used when revolving a curve around a pole that will leave some sort of hole or "gap" in the center of the shape.
  17. 26. This is the ____ of an integral determined by the upper and lower bounds.