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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 process of evaluating an indefinite integral






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






3. 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)






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






5. The reciprocal of the tangent function






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






7. The reciprocal of the cosine function






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






9. A function such that the following is true






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






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






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






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






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






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






19. A point of value of the independent variable at which the value of a fuunction is not equal to its limit as the value of the independent variable approaches that point - or where it is not defined






20. 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






21. 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






22. Slope between two points on a function






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






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






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






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






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






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






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






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






31. Local maximums of minimums of a function






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






33. A line around which a geometric figure is symmetrical






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






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






36. The absolute value or magnitude of velocity






37. The derivative of the first derivative






38. Notation used for the first derivative of a function






39. 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






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






41. 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






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






43. 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.






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






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






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






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






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






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






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