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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. Notation used for the first derivative of a function






3. The reciprocal of the sine function






4. The limit of f as x approaches c from the right






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






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






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






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






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






10. The reciprocal of the cosine function






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






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






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






14. 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






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






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






17. The inverse of the cosine function






18. Local maximums of minimums of a function






19. An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates






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






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






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






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






24. The vertical axis of the Cartesian coordinate system






25. The process of evaluating an indefinite integral






26. The reciprocal of the tangent function






27. The process of finding the derivative of a function






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






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






30. 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






31. 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






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






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






34. 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






35. 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.






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






37. The absolute value or magnitude of velocity






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






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






40. 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)






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






42. The inverse of the sine function






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






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






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






47. The derivative of the first derivative






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






49. The function that is integrated in an integral






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