Calculus Puzzle

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Across
  1. 4. The Derivative of Aceleration.
  2. 7. The antidericative of velocity.
  3. 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.
  4. 12. The Smallest Y-Value over an entire Graph.
  5. 13. A point on a curve where the second derivative equals 0, and changes from positive to negative.
  6. 14. [f'(x)g(x) - g'(x)f(x)]/[g(x)]^2
  7. 16. The Y-value that a function approaches as it approaches a respective X-Value.
  8. 17. The Largest Y-value over a certain interval.
  9. 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.
  10. 20. When a Function is smooth over an interval it is ______.
Down
  1. 1. The Smallest Y-value over a cretain interval.
  2. 2. The derivative of positiion.
  3. 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.
  4. 5. When a function has a Y-value for each X-value over an interval it is _____.
  5. 6. f'(x)g(x) + g'(x)f(x)
  6. 8. f'(g(x)) * g'(x)
  7. 9. A visualization of a differential equation, where the derivative at several points is represented by a slope on the graph.
  8. 11. The Largest Y-value over an entire graph.
  9. 15. The area under a curve.
  10. 18. The derivative of velocity.