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






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






3. 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






4. The vertical axis of the Cartesian coordinate system






5. The function that is integrated in an integral






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






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






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






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






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






11. Slope between two points on a function






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






13. 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.






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






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






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






17. The inverse of the cosine function






18. A line around which a geometric figure is symmetrical






19. The inverse of the sine function






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






21. 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






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






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






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






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






26. 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






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






28. The process by which an antiderivative is calculated






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






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






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






32. The absolute value or magnitude of velocity






33. A function such that the following is true






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






35. The horizontal axis of the Cartesian coordinate system






36. A line through two points on the curve






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






38. 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






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






40. Local maximums of minimums of a function






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






42. The derivative of the first derivative






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






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






45. Notation used for the first derivative of a 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. The reciprocal of the cosine function






48. f(-x)= -f(x)






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






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