Calculus Crossword

3. The rule which d/dx(f(x)g(x))=f'(x)g(x)+f(x)g'(x)
5. A Taylor series centered around x=0
7. An integral that has one or both limits infinite
13. A type of approximation of an integral by a finite sum which involves rectangles
16. It is the second derivative of a position function
17. a type of series of a function which is represented by an infinite sum of terms
19. A type of function with a one-dimensional input and a multi-dimensional output
21. To find the slope of a function you need to take the _____.
22. These points can occur when the first derivative is equal to zero
23. When the first derivative is negative, the function is _____.
24. Type of growth that involves dP/dt=kP(1-p/L)

1. An integral with no limits of integration is _____.
2. Can be found using disk/washer/shell method
4. Method to find the volume by using cross sections that are disks with holes
6. To find the area under a curve, take the _____. of the function
8. A type of curve where points are defined by the distance from the origin
9. The rule which states d/dx(f(g(x))=f'(g(x))g'(x)
10. A point that can occur when f''(x)=0
11. A value that a function approaches as an input approaches a value
12. It shows both direction and magnitude
14. When the first derivative is positive, the function is _____.
15. This theorem establishes a relationship between the slope of the tangent line and secant line of a curve
18. Maximizing or minimizing a quantity
20. The sign of the second derivative shows this
25. Makes a function non-differentiable but still allows the function to be continuous