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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 inverse of the cosine function






2. Having a decreasing derivative as the independent variable increases; having a negative second derivative






3. The point (0 -0) in the Cartesian coordinate plane






4. f(-x)= -f(x)






5. A line around which some body or curve rotates






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






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






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






9. Any function closely related to the exponential function - and in particular y=a^x - for any a






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






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






12. The inverse of the sine function






13. If a function has a well-defined derivative for each element of the domain






14. The reciprocal of the cosine function






15. For all x in [a -b] - f'(x)>0






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






17. The local and global maximums and minumums of a function






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






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






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






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






22. The horizontal axis of the Cartesian coordinate system






23. 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






24. Local maximums of minimums of a function






25. The ratio x/r with r being the distance of (x -y) from the origin






26. The absolute value or magnitude of velocity






27. The set of all values that can be assumed by the independent variable of a function






28. A function that is continuous on both the left and right side at that point






29. A function that is continuous at every point on the interval






30. 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






31. 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.






32. The process by which an antiderivative is calculated






33. A function that is defined by applying different formulas to different parts of its domain






34. A segment from the center of the circle to a point on the circle






35. The set of points in a plane that are equidistant from a given point






36. A number which serves as an estimate of a desired number






37. 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






38. Zero of a function; a solution of the equation f(x)=0 is a zero of the function f or a root of the equation or an x-intercept of the graph






39. A point of value of the independent variable at which the value of a fuunction is not equal to its limit as the value of the independent variable approaches that point - or where it is not defined






40. The reciprocal of the tangent function






41. A function such that the following is true






42. The inverse of the tangent function






43. A line through two points on the curve






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






45. Any x values where f'(x)=0 or is undefined






46. 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






47. A function that is a fixed numerical value for all elements of the domain of the function






48. The reciprocal of the sine function






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






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