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






2. A=x=b






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






4. 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






5. 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






6. Slope between two points on a function






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






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






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






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






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






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






13. 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






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






15. 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






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






17. The derivative of the first derivative






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






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






20. The reciprocal of the tangent function






21. The horizontal axis of the Cartesian coordinate system






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






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






24. The inverse of the tangent function






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






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






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






28. The function that is integrated in an integral






29. 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






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






31. The process of evaluating an indefinite integral






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






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






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






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






36. The inverse of the cosine function






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






38. f(-x)= -f(x)






39. 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.






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






41. The rate of change of the velocity with respect to time. the second derivative of a position function






42. A line around which some body or curve rotates






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






44. 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






45. 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






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






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






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






49. The inverse of the sine function






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