Crossculus: A Calculus Crossword Puzzle

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Across
  1. 3. A value in the domain of a given function at which the function attains a maximum or minimum value.
  2. 5. The highest point in a particular section of a graph.
  3. 6. A set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.
  4. 7. It measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
  5. 8. The lowest point in a particular section of a graph.
  6. 9. Moments within a function that are undefined and appear as a break or hole in a graph.
  7. 12. States that if f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that.
  8. 13. The highest point over the entire domain of a function or relation.
  9. 14. Any value in its domain where its derivative is 0.
  10. 15. A __________ function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
Down
  1. 1. A __________function of one real variable is a function whose derivative exists at each point in its domain.
  2. 2. The smallest value of the function.
  3. 3. It states that if a real-valued function f is continuous in the closed and bounded interval [a,b], then f must attain a maximum and a minimum, each at least once.
  4. 4. Used to determine if a critical point is a local extremum (minimum or maximum).
  5. 10. The largest value of the function.
  6. 11. The lowest point over the entire domain of a function or relation.