Math 190 - Final Exam Study Guide




  1. Find the indicated limits. Eight parts.
  2. Use the limit definition of the derivative to find the derivative. Show work.
  3. Find the equation of a tangent line to a curve at a given point.
  4. Use logarithmic differentiation to find the derivative.
  5. Find the derivative of the function. Twelve parts.
  6. Sketch a function with the given characteristics.
  7. Consider a function. Find the intervals where the function is increasing, decreasing, concave up, and concave down. Find any relative extrema and inflection points.
  8. Find the absolute maximum and minimum of a function on a closed interval.
  9. Application problem. Newton's law of cooling.
  10. Evaluate the integral. Ten parts. Some are indefinite, some are definite. Some require u-substitutions, some require integration by parts. Some are improper.
  11. Find the first order partial derivatives.
  12. Find the second derivatives. Two parts.
  13. Find the area of the region between two curves.

Notes:

# 1 2 3 4 5 6 7 8 9 10 11 12 13 Tot
pts 24 5 5 5 60 5 12 6 5 50 8 10 5 200