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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. 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






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






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






4. A=x=b






5. The process of finding the derivative of a function






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






7. 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.






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






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. The amount of change divided by the time it takes






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






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






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 left-most point of the sub-interval






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






15. The function that is integrated in an integral






16. The absolute value or magnitude of velocity






17. The reciprocal of the tangent function






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






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






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






21. The reciprocal of the sine function






22. The process of evaluating an indefinite integral






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






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






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






26. 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






27. The derivative of the first derivative






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






29. Notation used for the first derivative of a function






30. The inverse of the sine function






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






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






33. 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






34. f(-x)= -f(x)






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






36. The horizontal axis of the Cartesian coordinate system






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






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






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






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






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






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






43. 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






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






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






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






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






48. The reciprocal of the cosine function






49. A line around which a geometric figure is symmetrical






50. The inverse of the tangent function