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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. 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.






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






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






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 point (0 -0) in the Cartesian coordinate plane






6. A=x=b






7. Notation used for the first derivative of a function






8. 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






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






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






11. Slope between two points on a function






12. f(-x)= -f(x)






13. 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






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






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






16. The process of finding the derivative of a function






17. 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






18. 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






19. The reciprocal of the tangent function






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






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






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






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






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






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






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






27. A line through two points on the curve






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






29. The reciprocal of the cosine function






30. 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






31. The vertical axis of the Cartesian coordinate system






32. The absolute value or magnitude of velocity






33. 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.






34. 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






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






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






37. The process of evaluating an indefinite integral






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






39. The process by which an antiderivative is calculated






40. The horizontal axis of the Cartesian coordinate system






41. 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






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






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






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






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






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






47. 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






48. The limit of f as x approaches c from the right






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






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