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






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. 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






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






6. 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






7. The horizontal axis of the Cartesian coordinate system






8. A trigonometric function that in a right-angled triangle is the ratio of the length of the side opposite the given angle to that of the adjacent side






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






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






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






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






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






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






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






16. f(-x)= -f(x)






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






18. 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






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






20. The inverse of the sine function






21. A function such that the following is true






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






23. 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






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






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






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






27. The derivative of the first derivative






28. 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.






29. 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






30. 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)






31. 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






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






33. The absolute value or magnitude of velocity






34. A line around which a geometric figure is symmetrical






35. A line through two points on the curve






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






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






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






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






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






41. 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.






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






43. A line around which some body or curve rotates






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






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






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






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






48. 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






49. The reciprocal of the cosine function






50. The process of finding the derivative of a function