Calculus definitions

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Across
  1. 1. , The value that a function approaches as its input approaches a certain value. (Hint: Use "approach" in your explanation)
  2. 4. point, A point on a curve where the derivative is either zero or undefined. (Hint: It's a point where the curve "pauses")
  3. 6. a picture that shows how a function behaves
  4. 9. A relationship between two sets of variables such that the value of one variable is determined by the value of the other variable. (Hint: It's like a machine that takes in an input and gives you an output)
  5. 10. rule, A formula for computing the derivative of a quotient of two functions. (Hint: It involves dividing and differentiating)
  6. 11. A property of a curve that describes its curvature. (Hint: If the curve is making a "frown" shape, it's this property)
  7. 13. function, A function of the form f(x) = a^x, where a is a constant.
  8. 14. derivative, The derivative of the derivative of a function. (Hint: acceleration)
  9. 16. highest value of a function
  10. 18. The steepness of a line, defined as the ratio of the vertical change to the horizontal change. (Hint: Rise over run)
  11. 21. A property of a function that describes its behavior when its input approaches a certain value. (Hint: If you can draw the function without lifting your pen, it's this property)
  12. 22. rule, A formula for computing the derivative of a composite function. (Hint: It's a rule that involves "chains" of functions)
  13. 23. The process of finding the derivative of a function. (Hint: It's the opposite of antiderivatives)
  14. 24. rule, A formula for computing the derivative of a power function. (Hint: It involves raising the power and subtracting one)
  15. 25. The rate at which a function is changing with respect to its independent variable. (Hint: It's the slope of a tangent line)
Down
  1. 2. value theorem, A theorem that states that there exists a point in an interval where the slope of a curve is equal to the average slope of the curve over the interval. (Hint: nobody really knows what it is(mvt))
  2. 3. the lowest value of a function
  3. 5. A line that touches a curve at a single point and has the same slope as the curve at that point.
  4. 7. sum, An approximation of the area under a curve using rectangles. (Hint: It involves adding up the areas of many rectangles)
  5. 8. point, A point on a curve where the concavity changes. (Hint: smiling and frowning)
  6. 12. The calculation of the area under a curve. (Hint: Think of a reverse process to differentiation)
  7. 15. graph goes on forever
  8. 17. A function whose derivative is a given function. (Hint: It's the opposite of differentiation)
  9. 19. rule, A formula for computing the derivative of a product of two functions. (Hint: It involves multiplying and differentiating)
  10. 20. functions, Functions that relate the angles of a right triangle to the lengths of its sides. (Hint: Examples include sine, cosine, and tangent)