Calculus AB Vocabulary A

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Across
  1. 1. Rule A rule for differentiating the product of two functions
  2. 4. Value Theorem If a function is continuous and differentiable, then at some point, the derivative equals the average rate of change
  3. 5. A function is increasing if its derivative is positive
  4. 6. The direction a curve bends; determined by the sign of the second derivative
  5. 7. The instantaneous rate of change of a function; slope of the tangent line
  6. 9. The value a function approaches as the input approaches a certain value
  7. 10. A function is decreasing if its derivative is negative
  8. 12. A point where the function changes from increasing to decreasing
  9. 14. Rule A rule for differentiating the quotient of two functions
  10. 15. Point A point where the derivative is zero or undefined
Down
  1. 2. A function is differentiable if it has a derivative at every point in its domain
  2. 3. Rule A rule for computing the derivative of a composite function
  3. 6. A function is continuous if there are no breaks, jumps, or holes in its graph
  4. 8. A point where the function changes from decreasing to increasing
  5. 11. Theorem A special case of the Mean Value Theorem where the average rate of change is zero
  6. 13. Point A point where the concavity of a function changes