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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. The reciprocal of the tangent function






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






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






4. 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






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






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






7. 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






8. The reciprocal of the sine function






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






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






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






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






13. Local maximums of minimums of a function






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






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






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






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






18. The inverse of the cosine function






19. A function such that the following is true






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






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






22. 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






23. A line around which a geometric figure is symmetrical






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






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






26. 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.






27. f(-x)= -f(x)






28. The process of evaluating an indefinite integral






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






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






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






32. 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






33. 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






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






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






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






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






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






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






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






41. The inverse of the tangent function






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






43. Having a decreasing derivative as the independent variable increases; having a negative second derivative






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






45. 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






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






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






48. A line through two points on the curve






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






50. The vertical axis of the Cartesian coordinate system