Crossculus: A Calculus Crossword Puzzle

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Across
  1. 4. Any value in its domain where its derivative is 0.
  2. 9. Measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
  3. 11. 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. 12. Moments within a function that are undefined and appear as a break or hole in a graph.
  5. 13. Largest value of the function.
  6. 14. 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.
  7. 16. 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. Used to determine if a critical point is a local extremum (minimum or maximum).
  3. 3. Highest point over the entire domain of a function or relation.
  4. 5. Lowest point in a particular section of a graph.
  5. 6. Highest point in a particular section of a graph.
  6. 7. Smallest value of the function.
  7. 8. 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. 10. Lowest point over the entire domain of a function or relation.
  9. 15. A value in the domain of a given function at which the function attains a maximum or minimum value.