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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. The ratio x/r with r being the distance of (x -y) from the origin






2. When testing critical values - if the first derivative changes from negative to zero to positive - then that critical value is a local minumum of the function. if the first derivative changes from positive to zero to negative - then that critical val






3. Either of the endpoints of an interval over which a definite integral is to be evaluated






4. The rate of change of the velocity with respect to time. the second derivative of a position function






5. A method of approximating to an integral as the limit of a sum of areas of a trapezoids. can be done by averaging a left hand sum and a right hand sum.






6. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)






7. The derivative of the first derivative






8. The rate of change of position with respect to time






9. The inverse of the cosine function






10. The x-coordinate of the point where a curve intersects the x-axis






11. In periodic functions - the height of the function at the maximum to the middle line






12. A function that can be expressed in the form f(x)=mx+b






13. A differential equation y'=f(x -y) in which f can be expressed as a product of a function of x and a function of y






14. The number which - when raised to the power of a given logarithm - produces a given number






15. A point where a function changes concavity; also - where the second derivative changes signs






16. Having an increasing derivative as the independent variable increases - having a positive second derivative






17. The inverse of the tangent function






18. The smallest value of a function for each value of the domain






19. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point






20. A connected subset of two-dimensional space - such as the set of points (x -y) enclosed by equations of functions and boundary points






21. A plane geometric configuration formed by cutting a given figure with a plane which is at right angles to an axis of the figure






22. f(-x)= -f(x)






23. The amount of change divided by the time it takes






24. Any ordered pair (x -y) where f'(x)=0 or is undefined






25. The process of finding the derivative of a function






26. A solution of the equation f(x)=0 is a zero of the function f or a root of the equation






27. A rectangular sum of the area under a curve where the domain is divided into sub-intervals and the height of each rectangle is the function value at the left-most point of the sub-interval






28. A line perpendicular to a tangent line at the point of tangency






29. A function f that gives the position f(t) of a body on a coordinate axis at time t






30. In an application - maximizing or minimizing some aspect of the system being modeled






31. The horizontal axis of the Cartesian coordinate system






32. If f'(c)=0 and f''(c)>0 - then f has a local maximum at x=c. if f'(c)=0 and f''(c)<0 - then f has a local minimum at x=c.






33. If h(x)=f(x)*g(x) then h'(x)=f(x)g'(x)+g(x)f'(x)






34. A function has a relative maximum if the derivative changes signs from positive to zero to negative






35. A line around which some body or curve rotates






36. For all x in [a -b] - f'(x)<0






37. Approximating the value of a function by using the equation of the tangent line at a point close to the desired point






38. An arbitrary constant term in the expression of the indefinite integral of a function






39. The highest value of a function for each value of the domain






40. The function y=lnx is the inverse of the exponential function y=e^x






41. A function has a relative minimum if the derivative changes signs from negative to zero to positive






42. Slope between two points on a function






43. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






44. The reciprocal of the sine function






45. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative






46. A line through two points on the curve






47. A line around which a geometric figure is symmetrical






48. The solid figure generated by revolving a plane region around a line






49. An indefinite integral. an arbitrary constant '+c' is included






50. The value that the function is approaching as x approaches a given value; the left- and right-hand limits must agree