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






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






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






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






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






7. Local maximums of minimums of a function






8. Notation used for the first derivative of a function






9. Slope between two points on a function






10. The reciprocal of the sine function






11. 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.






12. The inverse of the sine function






13. 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.






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






15. 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






16. The horizontal axis of the Cartesian coordinate system






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






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






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






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






21. The vertical axis of the Cartesian coordinate system






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






23. 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






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






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






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






27. 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






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






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






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






31. A=x=b






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






33. The function that is integrated in an integral






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






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






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






37. The absolute value or magnitude of velocity






38. The reciprocal of the tangent function






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






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






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






42. The derivative of the first derivative






43. An integral without any specified limits - whose solution includes an undetermined constant C; antiderivative






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






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. A function such that the following is true






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






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






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






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