Test your basic knowledge |

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. 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






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






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






4. 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






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






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






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






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






9. 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.






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






11. The derivative of the first derivative






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






13. Local maximums of minimums of a function






14. 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






15. The process of evaluating an indefinite integral






16. f(-x)= -f(x)






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






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






19. The absolute value or magnitude of velocity






20. The steepness of a line; the ratio of the rise of a line divided by the run of a line between any two points; the tangent of the angle between the direction of a line and the x-axis






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






22. A function such that the following is true






23. 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






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






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






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






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 midpoint of the sub-interval






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






29. The inverse of the cosine function






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






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






32. A line around which a geometric figure is symmetrical






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






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






35. 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






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






37. The reciprocal of the tangent function






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






39. 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






40. The reciprocal of the cosine function






41. The inverse of the sine function






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






43. A line through two points on the curve






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






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






46. The reciprocal of the sine function






47. The horizontal axis of the Cartesian coordinate system






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






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






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