Across
- 1. A _____ sum is an approximation of a region's area, obtained by adding up the areas of multiple simplified slices of the region
- 4. A rational function has a ___ _________ if the degree of the numerator exceeds the degree of the denominator by exactly one
- 6. A point in the domain where f'=0 or DNE
- 10. A discontinuity is said to be ___ when the function can be redefined at the point of discontinuity so that it will be continuous there
- 13. The asymptote that is found by setting the denominator equal to 0
- 14. The rate of change of position with respect to time
- 17. The ____ limit is the limit from the left
- 19. ___ is the power to which a number must be raised in order to get some other number
- 21. The smallest y-value that a function achieves, occurs either at a local minimum or an endpoint
- 22. The process of taking the derivative
- 23. The value that a function approaches as that function's inputs get closer and closer to some number
- 25. The rate of change of a function with respect to a variable, or the slope of the tangent line
- 26. Local maximums or minimums
- 29. (lowDhigh-highDlow)/(low)^2
- 31. The ___ line that touches the curve at one point
- 33. ___ relates to the rate of change of a function's derivative
- 34. The inverse of a derivative
- 37. ____'s theorem guarantees the existence of an extreme value in the interior of a closed interval
- 38. The ____ limit is the limit from the right
- 39. The point of ____ where the graph contains a tangent line and concavity changes
- 40. The derivative of f(g(x)) is f'(g(x))⋅g'(x)
- 42. If a function x is not continuous at point y, then y is a point of ____ at x
- 43. ____ differentiation finds the derivative when y is in terms of x
Down
- 2. The _________ ___ theorem concerns the behavior of limits that are continuous on a closed interval
- 3. The antiderivative of 1/x
- 5. The ___ ____ theorem where f(c)= 1/(b-a)times the integral of f(x) from a to b
- 7. A way of integrating integrals by replacing the function with u
- 8. Found by taking the coefficients of the highest degree in the numerator over the denominator
- 9. These occur where a factor in the denominator of a fraction simplifies with a factor in the numerator of a fraction
- 11. A discontinuity is said to be ___ when the function cannot be redefined at the point of discontinuity so that it will be continuous there
- 12. The derivative of -cosx
- 15. ___ rates are used to calculate the rates of change of two or more related variables when changing with respect to time
- 16. The ____ derivative is found by deriving the first derivative
- 18. A method used to determine the miinimum and maximum vales using calculus
- 20. The inverse of differentiation
- 24. The integral of a function is the ___ under the curve
- 27. An ____ function is a function that can be formed by interchanging the x and y coordinates
- 28. The function f(x) in an integral
- 30. If a function is continuous in a certain interval, then f(x) exists in any value of the interval
- 32. The rate of change of velocity with respect to time
- 35. 1d2+2d1
- 36. ____ differentiation, a process for finding dy/dx when y is defined as a function of x
- 41. cosx(lne) equals ___