Math 190: Study Guide - Final Exam

  1. The graph of a function is given. Use it to find the limits. Seven parts.
  2. Complete the table to numerically evaluate the limit.
  3. Evaluate the limits. Eight parts.
  4. A table with values for x, f, g, f', and g' are given. Use the table to find the derivatives. Eight parts.
  5. Find the derivative of the function. Thirteen parts.
  6. Evaluate the integral. Nine parts.
  7. Given the values of some definite integrals, find the values of other definite integrals. Four parts.
  8. Use integration by parts to find the integral.
  9. Evaluate a multi-variable function and find the first partial derivatives.
  10. The graph of a function and its derivative are shown. Determine which is the function and which is the derivative. Three parts.
  11. Find the second derivatives. Two parts.
  12. Sketch a function with the given characteristics.
  13. Information about a continuous function with exactly one critical point is given. Determine whether that critical point corresponds to a relative minimum, relative maximum, neither, both, not enough information was given, or the situation is impossible. Seven parts.
  14. A function and its derivatives are given in factored form. Make sign charts for the function and its derivatives. Determine the x-intercepts, relative maximums, relative minimums, and inflection points. Give the intervals where the function is increasing, decreasing, concave up, and concave down.
  15. Find the absolute maximum and minimum of the function on the closed interval.


Points per problem

# 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Total
Pts 14 4 21 16 39 36 8 5 9 6 6 6 14 11 5 100