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






2. 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.






3. The reciprocal of the cosine function






4. 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






5. The derivative of the first derivative






6. The inverse of the tangent function






7. A multiplicative factor in some term of an expression (or of a series); it is usually a number - but in any case does not involve any variables of the expression






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






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






10. The function that is integrated in an integral






11. The process by which an antiderivative is calculated






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






13. A function that possesses a finite integral; the function must be continuous on the interval of integration






14. The expression for the evaluation of the indefinite integral of a positive function between two limits of integration






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






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






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






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






19. The vertical axis of the Cartesian coordinate system






20. 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






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






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






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






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






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






26. 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






27. A function such that the following is true






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






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






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






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






32. The trigonometric function that is equal in a right-handed triangle to the ratio of the side opposite the given angle to the hypotenuse






33. A method of obtaining the derivative of a composite function






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






35. 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






36. 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






37. The horizontal axis of the Cartesian coordinate system






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






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






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






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






42. A line through two points on the curve






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






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






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






46. 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






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






48. 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






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






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