Across
- 2. The process of finding the maximum or minimum value of a function, often subject to certain constraints or conditions.
- 7. point at which the value of a function is largest
- 8. A technique used to simplify integrals by substituting a new variable or expression, allowing for easier integration.
- 10. point at which the derivative of f(x) changes signs
- 11. area under the curve
- 13. removable
- 14. product
- 16. method used when direct substitution of a limit yields an indeterminate form
- 19. calculus
- 22. a type of function that is defined on a sequence of intervals
- 23. limit
- 24. what does it mean when there is no break in the graph of the given function at the point.
- 25. point at which the second derivative of f(x) changes signs
Down
- 1. what does it mean when a function exists at every point
- 3. chain
- 4. distance
- 5. washer
- 6. 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]
- 9. trapezoidal
- 12. derivative of velocity
- 15. displacement
- 17. rate of change at a particular instance
- 18. jump (draw a graph)
- 20. quotient
- 21. measure of rate of change