Calculus terms

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Across
  1. 2. f'g-fg'/g²
  2. 3. x=-b+-square root b square -4ac/2a
  3. 6. derivative of composite function
  4. 8. point in the domain of the function where the function is either not differentiable or the derivative is equal to zero.
  5. 9. these points can be absolute or relative
  6. 15. the rate of change of its position with respect to a frame of reference
  7. 18. the value the function approaches as the x-values approach the limit from one side only
  8. 22. overestimate when this happens
  9. 23. When a curve changes direction
  10. 26. distance/time
  11. 27. A unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius
  12. 31. A line that hits a curve at the point where the slope of the curve is equal to the slope of the line
  13. 32. the smallest value that a mathematical function can have over its entire curve
  14. 33. The set of output values for which the function is defined.
  15. 35. A method of testing for the convergence of an infite series
  16. 36. A word used to describe any path, whether actually curved or straight
  17. 37. The set of independent variables, or inputs, for a given function or relation
  18. 38. A relation where every x-value has only one corresponding y-value
  19. 39. a number is equal to the exponent on a given base that would give that number
  20. 42. terms alternate between positive and negative
  21. 43. a branch of mathematics that studies relationships between side lengths and angles of triangles
  22. 45. a unit circle is a circle of unit radius—that is, a radius of 1.A circle that tells you what sin(1) is.
  23. 46. value the magnitude of a real number without regard to its sign.
  24. 47. any set of ordered pair.
  25. 48. the distance a function is from the axis
  26. 49. inverse derivative, primitive function, primitive integral or indefinite integral of a function f is a differentiable function F whose derivative is equal to the original function f.
Down
  1. 1. a horizontal line that is not part of a graph of a function but guides it for x-values.
  2. 4. An infinite series
  3. 5. the process of finding the derivative of a dependent variable in an implicit function by differentiating each term separately
  4. 7. v'(t)
  5. 10. a vertical line that guides the graph of the function but is not part of it
  6. 11. F'(x)
  7. 12. a measure of the total area that the surface of the object occupies
  8. 13. A function where there is no abrupt changes in value
  9. 14. the change in the rate at a particular instant
  10. 16. an expression based on the derivative of a function
  11. 17. a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain.
  12. 19. As inputs approach some value, the value that the outputs approach is the
  13. 20. the highest value that a mathematical function can have over its entire curve
  14. 21. is a special function that is closely related to the gamma function and to binomial coefficients
  15. 23. F'(x)g(x)+F(x)g'(x)
  16. 24. the process of finding the derivative of a dependent variable in an implicit function by differentiating each term separately
  17. 25. A line that connects two points on a curve.
  18. 28. if f(x)≤g(x)≤h(x) for all numbers, and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them
  19. 29. a value that results from dividing the change in a function of a variable by the change in the variable
  20. 30. the act, process, or result of substituting one thing for another
  21. 34. a measure of how much the function changed per unit, on average, over that interval
  22. 40. nx⁶⁻¹
  23. 41. underestimate when this happens
  24. 44. extending in the same direction,