Math Project

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Across
  1. 3. A technique used when a function is not isolated for y.
  2. 5. A fundamental formula in calculus used to find the derivative of composite functions.
  3. 8. A graph drawn without lifting your pencil.
  4. 10. A line that touches a curve at only one point.
  5. 11. Represents the instantaneous rate of change of a function with respect to one of its variables.
  6. 13. The measure of steepness of a line.
  7. 14. A shortcut for finding derivatives of polynomials.
  8. 17. The value a function approaches from both sides.
  9. 20. A point on a curve where the concavity changes.
  10. 21. The value a function approaches as the input x approaches a specific value a from only one direction—either from the left or the right.
  11. 22. A "hole" in a graph where the limit exists, but the function is either undefined or defined elsewhere.
  12. 24. A point where the derivative is either zero or undefined
  13. 25. A discontinuity that is just a single "hole" in the graph.
  14. 26. A discontinuity where the left and right limits are not equal.
Down
  1. 1. A function is continuous at a point if the limit exists, the function is defined there, and they are equal.
  2. 2. Used for the derivative of a ratio of two functions.
  3. 4. The value a function approaches as the input approaches some number.
  4. 5. The method for finding the derivative of a composite function.
  5. 6. A function that has a derivative at every point.
  6. 7. Like a Continuous Function, that never have any gaps, jumps, or breaks in dedication to the class and is always there from one endpoint of the quarter to the other.
  7. 9. A discontinuity occurring at a vertical asymptote.
  8. 12. A requirement that a function be continuous and smooth for a derivative to exist.
  9. 15. A line that touches a curve at a single point, representing the curve's slope at that spot.
  10. 16. Used for the derivative of two functions multiplied together.
  11. 18. Where the left-hand and right-hand limits exist but are not equal.
  12. 19. The value a function approaches from specifically the left or the right.
  13. 23. The instantaneous rate of change of a function, or the slope of the tangent line.