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






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






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






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






5. 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






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






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






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






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






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






11. The reciprocal of the cosine function






12. Notation used for the first derivative of a function






13. 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






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






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






16. 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






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






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






19. Local maximums of minimums of a function






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






21. The horizontal axis of the Cartesian coordinate system






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






23. The reciprocal of the tangent function






24. 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)






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






26. A=x=b






27. 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






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






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






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






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






32. The process of finding the derivative of a function






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






34. The process of evaluating an indefinite integral






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






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






37. The reciprocal of the sine function






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






39. The inverse of the tangent function






40. The process by which an antiderivative is calculated






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






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






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






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






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






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






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






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






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






50. f(-x)= -f(x)