Calculus Vocabulary Crossword

Edit Answers
123456789101112131415161718192021222324252627282930
Across
  1. 3. A rule where if a function is the quotient of two differentiable functions
  2. 7. If f is continuous on the closed interval (a, b) and differentiable on the open interval (a, b), then there exists a number c in (a, b).
  3. 8. The steepness of a line commonly known as the rise over run.
  4. 10. A function that does have abrupt changes in value.
  5. 12. A type of discontinuity when factors don’t cancel when (x – a) = 0
  6. 13. A rule where if f and g are differentiable, then the composite function (f * g)(x) = f(g(x)) is differentiable and f’(g(x)) * g’(x)
  7. 15. F(x) = f’(x)
  8. 16. A rule where if a function is the product of two differentiable functions
  9. 17. How far something or someone are from where you started.
  10. 18. A type of discontinuity when factors are removed (cancel) when (x – a) = 0
  11. 19. A function that does not have any abrupt changes in value
  12. 20. A measurement of how much space an object has taken up.
  13. 23. A quantity that expresses the extent of a two-dimensional surface or shape
  14. 25. The rate of change of a function’s derivative
  15. 26. A = 1/2h (b1 + b2)
  16. 28. If f is continuous on the closed interval (a, b) then f takes every value between f (a) and f (b).
  17. 29. f’(x) = f(x)
  18. 30. A graphical general solution to a differential equation.
Down
  1. 1. A method of finding the integral for a function at any point on a graph.
  2. 2. If f is continuous over a closed interval (a, b) then f has both a minimum and maximum over the interval
  3. 4. y – y1 = -1/m (x – x1)
  4. 5. y - y1 = m (x - x1)
  5. 6. A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable
  6. 9. The process of finding a derivative, or rate of change, of a function
  7. 11. The total amount something has traveled
  8. 14. The height of the function at the maximum
  9. 21. A circle with a radius of 1
  10. 22. The “y-value,” that the graph is approaching from both the left side and the right side of “target value” of x = c.
  11. 24. A function defined in terms of time t expressing the ratio of the value at time t and the initial investment
  12. 27. The behavior of a graph of f(x) as x approaches positive or negative infinity.