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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 solid figure generated by revolving a plane region around a line






2. The reciprocal of the sine function






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






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






5. The process of evaluating an indefinite integral






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






7. f(-x)= -f(x)






8. 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.






9. 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






10. 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






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






12. The reciprocal of the cosine function






13. If y=f(x) - then both y' and f'(x) denote the derivative of the function with respect to x






14. The absolute value or magnitude of velocity






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






16. The inverse of the cosine function






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






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






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






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






22. The differentiation of an implicit function with respect to the independent variable






23. The reciprocal of the tangent function






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






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






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






27. The process of finding the derivative of a function






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






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






30. 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






31. 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)






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






33. 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






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






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






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






37. A=x=b






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






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






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






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






42. A function such that the following is true






43. A line through two points on the curve






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






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






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






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






48. The function that is integrated in an integral






49. 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






50. 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.