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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 function that is continuous at every point on the interval






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






3. 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






4. 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.






5. Local maximums of minimums of a function






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






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






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






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






10. The process of finding the derivative of a function






11. The inverse of the tangent function






12. The reciprocal of the tangent function






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






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






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






16. The solid figure generated by revolving a plane region around a line






17. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative






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






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






20. The derivative of the first derivative






21. The absolute value or magnitude of velocity






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






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






24. The process by which an antiderivative is calculated






25. 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






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






27. Slope between two points on a function






28. The ratio x/r with r being the distance of (x -y) from the origin






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






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






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






32. The process of evaluating an indefinite integral






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






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






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






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






37. A line through two points on the curve






38. The inverse of the sine function






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






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






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






42. The function that is integrated in an integral






43. 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






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






45. The horizontal axis of the Cartesian coordinate system






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






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






48. 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






49. To the graph of a function y=f(x) at a point x=a where exists the line through (a -f(a)) with slope f'(a)






50. 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.