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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. 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






2. The horizontal axis of the Cartesian coordinate system






3. The function that is integrated in an integral






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






5. Slope between two points on a function






6. 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






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






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






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






10. The reciprocal of the sine function






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






12. 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






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






14. 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






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






16. 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






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






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






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






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






21. The derivative of the first derivative






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






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






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






25. The inverse of the cosine function






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






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






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






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






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






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






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






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






34. The inverse of the tangent function






35. The absolute value or magnitude of velocity






36. The process by which an antiderivative is calculated






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






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






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






40. 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






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






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






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






44. The process of finding the derivative of a function






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






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






47. The reciprocal of the cosine function






48. 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.






49. A=x=b






50. A line through two points on the curve