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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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 point (0 -0) in the Cartesian coordinate plane






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






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






4. In integrating composite function - either using pattern recognition or change of variables to perform the integration






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






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






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






8. Slope between two points on a function






9. 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






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






11. 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






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






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






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






15. 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






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






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






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






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






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






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






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






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






24. 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.






25. 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






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






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






28. A line around which a geometric figure is symmetrical






29. Local maximums of minimums of a function






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






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






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






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






35. 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






36. A line through two points on the curve






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






38. 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






39. The reciprocal of the cosine function






40. Notation used for the first derivative of a function






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






42. 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)






43. The derivative of the first derivative






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






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






46. A line around which some body or curve rotates






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






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






49. A=x=b






50. 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