Across
- 5. 1 over cos
- 7. This point exists when the derivative of a function goes from negative, to undefined or 0 at the point, and then to positive
- 9. This theorem states that if a function is continous on the interval [a,b], then there exists an absolute max and min on that interval
- 14. The negative of the integral of csc squared
- 20. If the limit as a function approaches any point in the domain is equal to the value of the function at that point, then the function is _____
- 21. Integral of 1/x
- 24. Derivative of position
- 26. The integral of sec squared
- 27. The negative of the derivative of cos
- 28. The derivative of the derivative
- 31. _______’s rule says that when the limit of a fraction yields an indeterminate form by direct substitution, you can find the limit by taking the derivative of both the numerator and denominator
- 34. This type of equation relates x and y
- 35. _____ is the replacement of trigonometric expressions for other types of expressions, or vice versa
- 36. This growth model has growth based solely on the current population
- 37. Concepts that can be quantified by a single number
- 40. Graphical representation of the possible derivatives of a function as x and y changes
- 41. A taylor series centered at 0
- 42. Area under the graph of a function
- 43. A _______ can be used to approximate integrals
- 46. Creating a tangent line to a function by creating a line with slope of the derivative at a point, and that goes through that point
- 47. Integral of the absolute value of velocity
- 48. The opposite of the chain rule used for integration
- 49. These points exists when the concavity changes and the second derivative is 0 or undefined
- 50. The integral of the square root of 1 plus the derivative squared
Down
- 1. _____ series converges, but the absolute value of the series diverges
- 2. A function is ____ upwards when the second derivative is positive
- 3. This test states that If the limit of the ratio between the next term and the current term approaches a number less than 1, then the series converges, and if greater than 1, diverges
- 4. This test states that If an infinite series a is less than an infinite series b for every term after a certain term, and series b converges, then series a also converges
- 6. Minimums or maximums
- 8. This type of equation solves for x and y in terms of t
- 10. The opposite of the product rule used for integration
- 11. _____ series converges, and the absolute value of the series also converges
- 12. A method of rewriting a messy fraction into a sum of multiple smaller, easier to deal with, fractions
- 13. 1 over sin
- 15. Represents the rate of change of a function
- 16. Derivative of sin
- 17. An integral that tries to integrate an infinite interval of integration or has a discontinuity on the interior of the interval of integration
- 18. Concepts that need to represent both magnitude and direction
- 19. This growth model has growth based both on the current population and the distance from the carrying capacity
- 22. Derivative of velocity
- 23. This rule for taking the derivative says to derive the outside function while leaving the inside function intact, then multiply that by the derivative of the inside function
- 25. A function that serves to undo another function
- 29. Function to be integrated
- 30. These points exist when the derivative of a function is 0 or undefined
- 32. This type of sequence involves finding the next term by multiplying a constant value to the current term
- 33. This point exists when the derivative of a function goes from positive, to undefined or 0 at the point, and then to negative
- 38. Integral of velocity
- 39. An infinite sum of terms that are expressed in terms of the function's derivatives at a single point meant to represent that function
- 44. This type of equation relates r and theta
- 45. A function that never decreases or never increases