A Year of Calculus

3. If f'(x)<0, then the function is ____.
4. The anti-derivative of velocity is ____.
6. If a(t)>0 then the function is concave ____.
7. The slope of a tangent line.
13. To find a relative maximum or minimum on a closed interval, a ____ test is needed.
17. The ____ Value Theorem says that if a function is continuous on a closed interval [a, b], then there must be an relative maximum or minimum.
18. The derivative of cos(x) is the ____ of sin(x).
19. f(x)g(x)= f'(x)g(x) + f(x)g'(x) is ____ rule.
20. Where the derivative equals 0 or does not exist, it is known as a ____ point.
23. f(x)/g(x)= f'(x)g(x)- f(x)g'(x)/ (g(x))² is ____ rule.
25. The ____ Value Theorem says that if a function is continuous on a closed interval [a, b], then there must exist a value c between f(a) and f(b).

1. When the second derivative equals 0, there is a point of ____.
2. Hole in the graph that can be removed is a ____ discontinuity.
5. The derivative of an integral is the ____ itself.
8. If velocity and acceleration have the same sign, then the particle speed is ____.
9. The derivative of position is ____.
10. If the limit is an undefinable value such as 0/0, then ____'s rule applies.
11. If the limit from the left and limit from the right and the function value equal, the limit ____.
12. Jumps in the graph that cannot be removed is a non-removable ____.
14. Top function minus bottom function gives the ____ between two curves.
15. The derivative of a constant is ____.
16. If there are no gaps between the axis of rotation and the function, volume can be found using the ____ method.
20. f(g(x))= f'(g(x)) x g'(x) is ____ rule.
21. If there is a gap between the axis of rotation and the function, volume can be found by taking the integral of the area ____ from the AOR minus the function closest to the AOR.
22. The ____ Value Theorem says that if a function is continuous and differentiable on a closed interval [a, b], then the instantaneous rate of change must equal the derivative of a value c.
24. ____ is also known as the second derivative.