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






2. The vertical axis of the Cartesian coordinate system






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






4. 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






5. The process of evaluating an indefinite integral






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






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






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






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






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






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






12. 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






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






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






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






16. 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






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






18. The derivative of the first derivative






19. The function that is integrated in an integral






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






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






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 right-most point of the sub-interval






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






24. Local maximums of minimums of a function






25. The absolute value or magnitude of velocity






26. 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






27. The reciprocal of the cosine function






28. A line around which a geometric figure is symmetrical






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






30. f(-x)= -f(x)






31. 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






32. 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






33. 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






34. Slope between two points on a function






35. 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






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






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






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






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






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






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






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






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






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






45. The inverse of the cosine function






46. 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






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






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






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






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