calculus

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Across
  1. 2. function - A function f defined on some set X with real or complex values
  2. 5. value - the non-negative value of x without regard to its sign
  3. 8. rule - named after Gottfried Wilhelm Leibniz, generalizes the product rule
  4. 10. rule - A formula used to find the derivatives of products of two or more functions
  5. 12. minimum - the lowest value a function attains
  6. 15. sum - a certain kind of approximation of an integral by a finite sum. It is named after nineteenth century German mathematician Bernhard Riemann
  7. 17. - finds the area under a curve
  8. 18. rule - a formula for computing the derivative of the composition of two or more functions
  9. 21. - the mathematical study of continuous change
  10. 22. velocity - The velocity of an object in motion at a specific point in time
  11. 25. series - An infinite series whose terms alternate between positive and negative
  12. 26. - a differentiable function F whose derivative is equal to the original function f
  13. 27. integration - another method for integration by parts
Down
  1. 1. rule - A formula for finding the derivative of a function that is the ratio of two functions
  2. 3. function - A function of one real variable whose derivative exists at each point in its domain
  3. 4. - If a function is not continuous at a point in its domain, one says that it has a _______ there
  4. 6. value theorem - States that if a real-valued function f is continuous on the closed interval [a,b], then f must attain a maximum and a minimum, each at least once
  5. 7. maximum - the highest value a function attains
  6. 9. method - a numerical method to solve first order first degree differential equation with a given initial value
  7. 11. - the counterpart to the chain rule for differentiation
  8. 13. rule - rule used to take the derivatives of functions
  9. 14. integral - the limit of a definite integral as an endpoint of the interval(s) of integration
  10. 16. - equation which describes the slope of any function at a point
  11. 19. point - point of a differentiable function of a real or complex variable is any value in its domain where its derivative is 0
  12. 20. rule - uses derivatives to help evaluate limits involving indeterminate forms
  13. 23. - The name for a function which is being integrated
  14. 24. rate of change - The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.