AP BC Calculus Crossword Puzzle

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Across
  1. 2. if f''(x) < 0, then f(x) is __________ ____.
  2. 4. when f'(x) changes sign from (+) to (-) @ x = a, there is a __________ ____________ @ x = a.
  3. 5. the lowest point of a function or within a given interval
  4. 6. value of the quantity per unit
  5. 7. ____________ __________ theorem: if f(x) is continuous in [a, b], then there will be a max and min value for f(x)
  6. 10. this is the first derivative of velocity
  7. 11. the highest point of a function or within a given interval
  8. 12. For the _________ __________ test, if f'' = 0, then there is neither a maximum nor minimum at that point
  9. 15. in optimization, this is the data that is a fixed constant
  10. 16. to find the ___________ ________ of a function, you need to find a point and the slope
  11. 17. if f''(x) > 0, then f(x) is __________ ____.
  12. 18. _________ theorem: if f(x) is continuous in [a, b] and differentiable in (a, b), and f(a) = f(b), then there will exist at least 1 value "c" such that f'(c) = 0
  13. 19. this is the first derivative of position
  14. 20. if a function's first derivative does not change sign, the function is _______________.
Down
  1. 1. when f'(x) changes sign from (-) to (+) @ x = a, there is a __________ ____________ @ x = a.
  2. 3. when a function cannot be differentiated explicitly for y, use this method
  3. 8. in optimization, this is the data that you are trying to optimize
  4. 9. to find critical points, set f'(x) = 0 or ____ ___ _____.
  5. 13. this is the reverse process of differentiation
  6. 14. ____________ __________ theorem: if f(x) is continuous in [a, b] and differentiable in (a, b), then there will exist at least 1 value "c" such that f'(c) = [f(b) - f(a)]/(b - a)