Calculus Puzzle
Across
- 4. The Derivative of Aceleration.
- 7. The antidericative of velocity.
- 10. The theorem that states that for any given curve, there is at least one point at which the tangent to the curve is parallel to the secant through its endpoints.
- 12. The Smallest Y-Value over an entire Graph.
- 13. A point on a curve where the second derivative equals 0, and changes from positive to negative.
- 14. [f'(x)g(x) - g'(x)f(x)]/[g(x)]^2
- 16. The Y-value that a function approaches as it approaches a respective X-Value.
- 17. The Largest Y-value over a certain interval.
- 19. The _______ of a function f is a (typically different) function f ' that measures the rate of change of the y-values of f with respect to change in the x-value.
- 20. When a Function is smooth over an interval it is ______.
Down
- 1. The Smallest Y-value over a cretain interval.
- 2. The derivative of positiion.
- 3. Tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.
- 5. When a function has a Y-value for each X-value over an interval it is _____.
- 6. f'(x)g(x) + g'(x)f(x)
- 8. f'(g(x)) * g'(x)
- 9. A visualization of a differential equation, where the derivative at several points is represented by a slope on the graph.
- 11. The Largest Y-value over an entire graph.
- 15. The area under a curve.
- 18. The derivative of velocity.