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






2. The inverse of the cosine function






3. The reciprocal of the tangent function






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






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






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






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






8. Local maximums of minimums of a function






9. f(-x)= -f(x)






10. The inverse of the tangent function






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






12. 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






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






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






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






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






17. 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.






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






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






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






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






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






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






24. The absolute value or magnitude of velocity






25. A line through two points on the curve






26. 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






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






28. Either of the endpoints of an interval over which a definite integral is to be evaluated






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






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






31. The process of evaluating an indefinite integral






32. The process of finding the derivative of a function






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






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






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






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






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






38. 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






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






40. The process by which an antiderivative is calculated






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






42. A line around which some body or curve rotates






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






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






45. 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






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






47. The function that is integrated in an integral






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






50. 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