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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.
  • 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 function that is continuous at every point on the interval






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






3. The process by which an antiderivative is calculated






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






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






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






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






9. A function such that the following is true






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






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






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






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






14. 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






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






16. 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






17. The horizontal axis of the Cartesian coordinate system






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






19. 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






20. 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






21. 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






22. 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






23. The process of finding the derivative of a function






24. The inverse of the cosine function






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






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






27. The function that is integrated in an integral






28. A=x=b






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






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






31. The reciprocal of the sine function






32. The absolute value or magnitude of velocity






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






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






37. Local maximums of minimums of a function






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






39. The inverse of the tangent function






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






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






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






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






45. A line around which some body or curve rotates






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






47. Notation used for the first derivative of a function






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






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






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







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