Calculus Vocab

4. rule use derivative to find limits
9. this occurs when factors remain in the denominator of a function
11. points on a function of local or absolute max/min
15. ___ Rule where product
16. Slope of the tangent line at that point
18. ___ Rule where x^n = nx^n-1
19. Equations consist of an x(t) and a y(t)
22. _____ Series defined as f(c)+f'(c)x
23. is up when f''(x) is positive and down when f''(x) is negative
24. uninterrupted connections of a function
25. _____ Value Theorem states that if f is a continuous on the closed interval on [a, b], and D is between f(a) and f(b), then there is a c in [a, b] that f(c)=D

1. ___ Rule where quotient
2. length of a velocity vector
3. The value a function approaches
5. an asymptote where x approaches this number as it approaches infinity or -infinity
6. where concavity switches
7. a finite set of numbers that follow a set pattern
8. ___ Rule where chain
10. Integrals may go one for infinity or may tend toward infinity
12. Series gives an unending number of terms that add together.
13. Integration by _____ replaces the terms of a function with u and du
14. _____ Series is a Taylor Series centered at c=0
17. ____ series where ar^n
20. _____ Theorem of Calculus
21. Integration by _____ u dv uv vdu