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






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






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






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 midpoint of the sub-interval






5. 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.






6. The process by which an antiderivative is calculated






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






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






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






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






11. A line through two points on the curve






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






13. Local maximums of minimums of a function






14. The inverse of the cosine function






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






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






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






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






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






20. f(-x)= -f(x)






21. The function that is integrated in an integral






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






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






24. A function such that the following is true






25. 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






26. 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)






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






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






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






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






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






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






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






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






35. A line around which a geometric figure is symmetrical






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






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






38. The local and global maximums and minumums of a function






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






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






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






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






43. 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






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






45. The process of finding the derivative of a function






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






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






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






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






50. 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