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1. the point where the derivative of a function is undefined or passes through 0
2. a value theorem whose condition is that the function must be continuous on the interval (a, b)
4. graph of a differential equation
7. the opposite of a derivative, often used when taking the integral of a function
10. the value a function approaches at a given x-value
11. a property of a function; required as a condition for all three value theorems; implied via differentiability
15. the line a function or part of a function approaches, but never equals
16. a method used in integration where a substitution is made
17. a rule used when taking derivatives; used when one function is raised to a real-number exponent
19. a method of estimating the integral using rectangles
20. a point of this occurs when the second derivative of the function equals and passes through 0
21. the process of finding the max or min of a function, often with constraints; usually done by finding the critical values
22. a break in a function
24. a rule used when taking derivatives; used when one function is contained within the other

1. a property of a function; it can be determined through finding the second derivative of the function, and changes at points of inflection
3. a technique used to find the derivative of an equation where both variables are mixed together in the same equation
5. the instantaneous rate of change
6. a value theorem where one condition states that the function must be differentiable on the interval (a, b)
8. the inverse of a derivative
9. technique used when estimating the value of a function using tangent line close-by
12. a mathematical study created by Isaac Newton
13. a value theorem that proves extrema exist
14. a type of line that intersects a curve at only one point; the slope of this line at any point is equal to the derivative of that point
18. a rule used when taking derivatives; used when taking the derivative of a fraction
23. a fraction made of two quantities, represented as a single unit