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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. The derivative of the first derivative






2. A function that is a fixed numerical value for all elements of the domain of the function






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






4. f(-x)= -f(x)






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






6. A line around which a geometric figure is symmetrical






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






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






9. 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






10. For all x in [a -b] - f'(x)<0






11. The process by which an antiderivative is calculated






12. 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






13. 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.






14. The reciprocal of the tangent function






15. 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






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






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






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






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






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






21. 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.






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






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






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






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






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






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






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






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






30. The process of evaluating an indefinite integral






31. The inverse of the cosine function






32. A line through two points on the curve






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






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






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






36. 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






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






38. The vertical axis of the Cartesian coordinate system






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






40. Notation used for the first derivative of a function






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






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






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






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






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






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






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






48. Slope between two points on a function






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






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