Semester 1 Calculus AB

4. A function is this if its derivative is positive
6. The derivative of velocity; second derivative of position
9. A rule for differentiating the quotient of two functions
10. The theorem that connects derivatives and integrals
12. A point where the concavity of a function changes
13. A function is this if its derivative is negative
18. The location of a particle at a given time
20. A function is continuous if there are no breaks, jumps, or holes in its graph
21. A point where the derivative is zero or undefined

1. Theorem If a function is continuous and differentiable, then at some point, the derivative equals the average rate of change
2. The value a function approaches as the input approaches a certain value
3. A function is differentiable if it has a derivative at every point in its domain
5. A rule for differentiating the product of two functions
7. The instantaneous rate of change of a function; slope of the tangent line
8. A rule for computing the derivative of a composite function
11. A point where the function changes from decreasing to increasing
14. A function whose derivative is the given function
15. The derivative of position; rate of change of position
16. The direction a curve bends; determined by the sign of the second derivative
17. A point where the function changes from increasing to decreasing
19. Theorem A special case of the Mean Value Theorem where the average rate of change is zero