Across
- 2. (uv)= u'v + uv'
- 5. the region bounded by the function we're working with vertical lines representing the function's bounds and the x-axis
- 6. a first-order numerical procedure for solving ordinary differential equations with a given initial value
- 7. straight line that just touches the curve at that point
- 8. simple operation in which a number is divided
- 11. a numerical quantity that is not a whole number
- 13. simple operation in which a number is taken away from another number
- 16. branch of mathematics that deals with the finding and properties of derivatives and integrals of functions by methods originally based on the summation of infinitesimal differences
- 18. quantity that expresses the extent of a region on the plane or on a curved surface
- 22. Obtaining the derivative of a function
- 27. The slope of the line tangent to the function
- 29. When the graph of the function is continuous
- 30. lowest point of a specified interval of a graph
- 31. a graphical representation of the solutions to a first-order differential equation of a scalar function
- 34. a relation of the form R = 0 where R is a function of several variables
- 37. the graph lies below its tangent lines
- 38. a number greater than any assignable quantity or countable number
- 41. process of combining matrices vectors or other quantities under specific rules to obtain their product
- 43. number that is expressed in terms of the square root of a negative number represented by i
- 44. Where the function changes from concave up to concave down or vice versa
- 45. a value that a function approaches the output for the given input values
- 46. the magnitude of a real number without regard to its sign
- 48. quantity representing the power to which a given number or expression is to be raise
- 49. for a given planar arc between two endpoints there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints
Down
- 1. a mathematical object that can be interpreted as an area or a generalization of area
- 3. highest point of a specified interval of a graph
- 4. cool math teacher that gives people doughnuts occasionally
- 5. a mathematical function that is the inverse of the cosine function
- 9. f'(g(x))g'(x)
- 10. a line that continually approaches a given curve but does not meet it at any finite distance
- 12. A point at which the graph of the function is not continuous
- 14. an integration rule that evaluates the area under the curves by dividing the total area into smaller trapezoids rather than using rectangles
- 15. a mathematical function that is the inverse of the tangent function
- 17. the change in velocity over the change in time
- 19. simple operation in which a number is added onto another number
- 20. yummy treats that are given by cool math teacher occasionally
- 21. branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles
- 23. a mathematical function that is the inverse of the sine function
- 24. Highest point of a function
- 25. Finding the derivative of the numerator and denominator to evaluate the limit of a function
- 26. when the two-sided limit doesn't exist because the one-sided limits aren't equal
- 28. The rate of change in the position of an object
- 32. the graph lies above its tangent lines
- 33. a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface
- 35. a point of a curve at which a change in the direction of curvature occurs
- 36. Lowest point of a function
- 39. Rates of change are related by differentiation
- 40. a differentiable function F whose derivative is equal to the original function f
- 42. a point in the domain of the function where the function is either not differentiable or the derivative is equal to zero
- 47. a point at which two branches of a curve meet such that the tangents of each branch are equal