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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. 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






2. A=x=b






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






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






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






6. The inverse of the tangent function






7. 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.






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






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






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






11. The inverse of the sine function






12. 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.






13. The inverse of the cosine function






14. A function such that the following is true






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






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






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






18. A line through two points on the curve






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






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






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






22. The reciprocal of the sine function






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






24. The reciprocal of the tangent function






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






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






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






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






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






30. 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






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






32. The process of finding the derivative of a function






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






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






35. 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






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






37. 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






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






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






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






42. The number which - when raised to the power of a given logarithm - produces a given 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. Any function closely related to the exponential function - and in particular y=a^x - for any a






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






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






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 right-most point of the sub-interval






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






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