Calculus Crossword

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Across
  1. 4. the derivative of velocity
  2. 9. a rule we use to determine if we have an indeterminate form 0/0 or ∞/∞
  3. 11. a branch of mathematics that involves the study of rates of change
  4. 13. the inverse to an exponential function
  5. 14. the value that a function approaches as the input approaches some value
  6. 18. 2sinxcosx
  7. 19. the instantaneous rate of change of a function with respect to one of its variables
  8. 21. another name for "indefinite integrals"
  9. 24. the ratio between two related quantities in different units
  10. 25. when a function can be redefined at the point of discontinuity so that it will be continuous there
  11. 26. the "steepness" of a line
  12. 27. the absolute value of velocity
  13. 28. sum off all numbers divided by the amount of numbers
  14. 30. relates to the rate of change of a function's derivative
  15. 31. ____ Sum is an approximation of a regions area, obtained by adding up the areas of multiple simplified slices of the region
  16. 33. If a function does not have any breaks, holes, or jumps within a certain interval
  17. 34. an expression involving one or more variables
  18. 35. the process of finding maximum and minimum values given constraints using calculus
  19. 37. having no definite or definable value
  20. 38. when the function cannot be redefined at the point of discontinuity
Down
  1. 1. the amount of space taken by a 2D shape
  2. 2. use this term when using this rule: 1(D2)+2(D1)
  3. 3. the amount of space in a certain 3D object
  4. 5. the derivative of sinx
  5. 6. the total length of of the sides of a two dimensional shape
  6. 7. 2r
  7. 8. 3.14159265359...
  8. 10. the integral of cosx
  9. 11. use this type of rule for composite (nested) functions
  10. 12. a value that doesn't change
  11. 15. the process of finding a derivative
  12. 16. an unknown numerical value in an equation
  13. 17. the second letter of the Greek alphabet
  14. 20. 2πr
  15. 22. the eighth letter of the Greek alphabet
  16. 23. the "reverse" of a derivative
  17. 27. the reciprocal of cosx
  18. 29. When a function is not continuous
  19. 30. cos2x - sin2x
  20. 32. use this term when using this rule: LowDHi-HiDLow/(Low)^2
  21. 36. the derivative of position