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.