Final Exam Focus Questions

Question 1     Compute the limit of a function algebraically using techniques learned during the semester.

Question 2     Evaluate limits from a graphical perspective i.e. with no formula given.

Question 3     Take derivatives of various functions including trigonometric using the differentiation rules.  Compute anti-derivatives with and without initial conditions.

Question 4     Find the equation of the tangent line to the graph of a given function at a particular point.

Question 5     If a particle moves according to a given equation, be able to answer questions about its velocity, acceleration, and distance traveled.

Question 6     Given the graph of the derivative of  f , be able to answer questions about  f   i.e.  where is it inc./dec.?, concavity?, min./max.?, inflection points?

Question 7     Be able to draw a graph of a function subject to various conditions.  Refer to Test 3 Number 7.

Question 8     Know how to find  dy/dx  using implicit differentiation. 

Question 9     This test question will be an optimization word problem.

Question 10   Use the washer method to be able to find the volume of a solid of revolution.

Question 11   Use the method of cylindrical shells to find the volume of a solid of revolution rotated about an axis other than the y or x axes.