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AP Calculus Vocab

Subjects : math, ap, calculus
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • 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. The function y=lnx is the inverse of the exponential function y=e^x






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






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






4. A segment from the center of the circle to a point on the circle






5. 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






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






7. 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






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






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






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






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






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






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






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






15. The inverse of the sine function






16. The inverse of the tangent function






17. Notation used for the first derivative of a function






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






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






20. The process by which an antiderivative is calculated






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






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






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






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






26. 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.






27. 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






28. A line through two points on the curve






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






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






31. 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






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






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






34. The reciprocal of the cosine function






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






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






37. A line around which some body or curve rotates






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 right-most point of the sub-interval






39. The derivative of the first derivative






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






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






42. Slope between two points on a function






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






44. 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)






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






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






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






48. Local maximums of minimums of a function






49. The rate of change of the position function occuring as a limit as a time interval approaches zero; the derivative of the position function






50. The absolute value or magnitude of velocity