Calculus I Review Problems

  1. Find the indicated limit or explain why it does not exist.
  2. State the definition of , the derivative of a function f. Describe the derivative of a function in geometric terms.
  3. Compute the derivative of each of the following functions.

    1. HINT: Use the Fundamental Theorem of Calculus.
  4. A page of a book is to contain 27 square inches of print. If the margins at the top, bottom, and one side are 2 inches and the margin at the other side is 1 inch, what size page would use the least paper?
  5. Compute each definite or indefinite integral.
  6. Find the area of the region bounded by and the x-axis.
  7. Find the length of the arc of the curve from x=1 to x=3.




Douglas B. Meade
Last revision: Mon Jan 8 09:04:38 EST 1996