Calculus

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Across
  1. 2. Lowest point of a function
  2. 4. When the graph of the function is continuous
  3. 8. yummy treats that are given by cool math teacher occasionally
  4. 12. The slope of the line tangent to the function
  5. 15. the graph lies below its tangent lines
  6. 20. quantity that expresses the extent of a region on the plane or on a curved surface
  7. 23. simple operation in which a number is divided
  8. 25. simple operation in which a number is added onto another number
  9. 27. a relation of the form R = 0 where R is a function of several variables
  10. 28. a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface
  11. 29. when the two-sided limit doesn't exist because the one-sided limits aren't equal
  12. 30. simple operation in which a number is taken away from another number
  13. 34. (uv)= u'v + uv'
  14. 35. Finding the derivative of the numerator and denominator to evaluate the limit of a function
  15. 39. a mathematical function that is the inverse of the sine function
  16. 40. a numerical quantity that is not a whole number
  17. 41. straight line that just touches the curve at that point
  18. 46. Obtaining the derivative of a function
  19. 47. a point of a curve at which a change in the direction of curvature occurs
  20. 48. cool math teacher that gives people doughnuts occasionally
  21. 49. the magnitude of a real number without regard to its sign
  22. 50. Where the function changes from concave up to concave down or vice versa
Down
  1. 1. number that is expressed in terms of the square root of a negative number represented by i
  2. 3. a line that continually approaches a given curve but does not meet it at any finite distance
  3. 5. a value that a function approaches the output for the given input values
  4. 6. a differentiable function F whose derivative is equal to the original function f
  5. 7. branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles
  6. 9. an integration rule that evaluates the area under the curves by dividing the total area into smaller trapezoids rather than using rectangles
  7. 10. A point at which the graph of the function is not continuous
  8. 11. the change in velocity over the change in time
  9. 13. process of combining matrices vectors or other quantities under specific rules to obtain their product
  10. 14. for a given planar arc between two endpoints there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints
  11. 16. branch of mathematics that deals with the finding and properties of derivatives and integrals of functions by methods originally based on the summation of infinitesimal differences
  12. 17. a first-order numerical procedure for solving ordinary differential equations with a given initial value
  13. 18. a mathematical function that is the inverse of the tangent function
  14. 19. lowest point of a specified interval of a graph
  15. 21. The rate of change in the position of an object
  16. 22. quantity representing the power to which a given number or expression is to be raise
  17. 24. a mathematical object that can be interpreted as an area or a generalization of area
  18. 26. the graph lies above its tangent lines
  19. 31. highest point of a specified interval of a graph
  20. 32. Rates of change are related by differentiation
  21. 33. a mathematical function that is the inverse of the cosine function
  22. 36. a number greater than any assignable quantity or countable number
  23. 37. the region bounded by the function we're working with vertical lines representing the function's bounds and the x-axis
  24. 38. Highest point of a function
  25. 42. a graphical representation of the solutions to a first-order differential equation of a scalar function
  26. 43. a point in the domain of the function where the function is either not differentiable or the derivative is equal to zero
  27. 44. a point at which two branches of a curve meet such that the tangents of each branch are equal
  28. 45. f'(g(x))g'(x)