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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 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






2. The vertical axis of the Cartesian coordinate system






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






4. 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.






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






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






7. The inverse of the sine function






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






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






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






11. A line through two points on the curve






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






13. 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






14. 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.






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






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






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






18. 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






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






20. 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






21. A function such that the following is true






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






23. The horizontal axis of the Cartesian coordinate system






24. The process by which an antiderivative is calculated






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






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






27. Local maximums of minimums of a function






28. The inverse of the cosine function






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






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






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






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






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






34. The rate of change of the velocity with respect to time. the second derivative of a position function






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






36. The reciprocal of the sine function






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






38. The process of finding the derivative of a function






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






40. f(-x)= -f(x)






41. The inverse of the tangent function






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






43. A=x=b






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






45. 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






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






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






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






49. 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






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