Calculus Crossword

3. _______ Extreme: A point at which the function reaches value that is larger than all other points nearby it or a value that is smaller than all other points nearby.
4. a point at which a function's value is greatest
7. Determined by examining the rate of change of the rate of change of a function
10. _______Logarithm. Base e.
12. ‘s Rule: If the limit of a ratio of functions is of the form 0/0 or infinity/infinity, the limit will be equal to the limit of the ratio of the derivatives of the functions.
13. _________ Value Theorem: If a function is continuous over a closed interval [a, b], it encompasses every value between f(a) and f(b) within that range
14. The value a function approaches as the input of the function approaches a certain value. According to LIndsay Lohan, it may not exist!
16. problems involving multiple quantities all changing with respect to time
17. A function whose rate of change is directly proportional to the function

1. ________ Value Theorem: If a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that f'(c) is equal to the function's average rate of change over [a,b].
2. Discoverer of calculus who used prime notation
5. a point at which a function's value is least
6. A function whose values depend on ratios
8. _______Extreme: the function value corresponding to the maximum or minimum value of the entire function.
9. a point at which a function's concavity changes
11. Using a tangent line to approximate the value of a function
14. Discoverer of calculus who used dy/dx notation
15. Instantaneous Rate of Change
18. _______ Value Theorem: If a function f(x) is continuous on a closed interval [ a, b], then f(x) has both a maximum and minimum value on [ a, b].