Calculus Crossword

3. an infinite series without a finite limit
4. a taylor series centered around zero
5. type of comparison test which uses another easier series
9. all the terms of an infinite sequenceadded together
10. test for which series must be continuous, decreasing, and differentiable
12. formula that expresses the derivative of the composition of two differentiable functions
13. found by finding the zeros of the derivative
14. abbreviation for formula for the slopes of tangent lines
16. integration by substitution,he counterpart to the chain rule for differentiation
17. a first-order numerical procedure for solving ordinary differential equations with a given initial value
19. the rate of change of a quantity y with respect to another quantity x

1. the derivative of velocity
2. approximations of the area under a curve
6. finding a rate at which a quantity changes by relating that quantity to other quantities whose rates of change are known
7. a theorem which states there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints
8. used to find the volume of a shape that is obtained by rotating two functions around an axis
11. places where derivative is zero or undefined
13. test used to find ratio of convergence
15. the value that a function approaches as the input approaches some value
18. the derivative of position