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






2. The inverse of the tangent function






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






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






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






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






7. 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






8. 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






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






10. 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






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






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






13. A=x=b






14. Zooming in at a point on the graph of a function until the function approaches the tangent line at that point






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






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






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






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






19. 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.






20. The derivative of the first derivative






21. 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






22. The vertical axis of the Cartesian coordinate system






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






24. 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






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






26. A function such that the following is true






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






28. Any ordered pair (x -y) where f'(x)=0 or is undefined






29. The process by which an antiderivative is calculated






30. The reciprocal of the sine function






31. The horizontal axis of the Cartesian coordinate system






32. The function that is integrated in an integral






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






34. In integrating composite function - either using pattern recognition or change of variables to perform the integration






35. Local maximums of minimums of a function






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






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






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






39. The inverse of the cosine function






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






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






42. 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.






43. The x-coordinate of the point where a curve intersects the x-axis






44. The reciprocal of the cosine function






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






46. 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






47. 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






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






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






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