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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 local and global maximums and minumums of a function






2. The process of evaluating an indefinite integral






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






4. 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






5. The reciprocal of the sine function






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






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






8. A line around which some body or curve rotates






9. The horizontal axis of the Cartesian coordinate system






10. 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






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






12. The function that is integrated in an integral






13. f(-x)= -f(x)






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






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






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






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






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






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






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






21. 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






22. The inverse of the tangent function






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






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






25. 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






26. A=x=b






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 right-most point of the sub-interval






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






29. 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






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






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






32. 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






33. 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






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






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






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






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






38. For all x in [a -b] - f'(x)<0






39. The inverse of the sine function






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






41. 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






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






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






44. 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)






45. Local maximums of minimums of a function






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






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






48. The derivative of the first derivative






49. 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






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