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






2. 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






3. The inverse of the cosine function






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






5. 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.






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






7. The derivative of the first derivative






8. The inverse of the sine function






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






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






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






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






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






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






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






16. The process of finding the derivative of a function






17. The limit of f as x approaches c from the right






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






19. The set of points in a plane that are equidistant from a given point






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






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






22. A line around which some body or curve rotates






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






24. A=x=b






25. The process by which an antiderivative is calculated






26. The reciprocal of the sine function






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






28. 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.






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






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






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






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






33. The rate of change of a function occurring at or associated with a given instant - or as a limit as a time interval approaches zero; the derivative






34. 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






35. The inverse of the tangent function






36. 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






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






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






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






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






41. 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






42. 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






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






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






45. 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






46. The amount of change divided by the time it takes






47. f(-x)= -f(x)






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






49. Notation used for the first derivative of a function






50. A line through two points on the curve