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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. A function that can be expressed in the form f(x)=mx+b






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






3. The process of finding the derivative of a function






4. In integrating composite function - either using pattern recognition or change of variables to perform the integration






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






6. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side






7. The greatest y-value that a function achieves. occurs either at a local maximum or an endpoint






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






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






10. The vertical axis of the Cartesian coordinate system






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






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






13. 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






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






15. 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.






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






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






18. The derivative of the first derivative






19. The horizontal axis of the Cartesian coordinate system






20. 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






21. 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






22. 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 midpoint of the sub-interval






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






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






25. The process by which an antiderivative is calculated






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






27. Notation used for the first derivative of a function






28. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function






29. The reciprocal of the cosine function






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






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






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






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






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






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






36. The inverse of the cosine function






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






38. A line around which some body or curve rotates






39. 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






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






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






42. The process of evaluating an indefinite integral






43. The function that is integrated in an integral






44. Slope between two points on a function






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






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






47. 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 right-most point of the sub-interval






48. The y-coordinate of a point where a curve intersects the y-axis






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






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