The Derivative Function Quiz
Web resources available
This quiz tests the work covered in Lecture 9 and corresponds to Section 2.3 of
the textbook Calculus: Single and Multivariable (Hughes-Hallett, Gleason, McCallum
et al.).
There is a web quiz at Wiley. It is the same quiz for each section in Chapter and you
should you attempt it now.
Be aware that it doesn’t seem to accept the written answers so you will have to check
whether your answers are correct when they print the correct answer. Questions 11
and 12 were illegible on 14/11/05.
The Mathematics Learning Centre has a booklet on differentiation Introduction to
Differential Calculus which covers all of the topics for the next few lectures. In
particular, Chapters 2 and 3.1 of the booklet covers this topic.
The site http://www.math.uncc.edu/~bjwichno/fall2004-math1242-006/Review˙Calc˙I/lec˙deriv.htm
covers some of the material in Section 2.1-2.3
There is an applet that lets you sketch the derivative of a given function at http://www.ltcconline.net/greenl/java/Other/DerivativeGraph/classes/DerivativeGraph.html After you have mastered the topic you might like to try the tests at http://www.univie.ac.at/future.media/moe/tests/diff1/defabl.html and http://www.univie.ac.at/future.media/moe/tests/diff1/poldiff.html and the puzzle at http://www.univie.ac.at/future.media/moe/tests/diff1/ablerkennen.html
Question 1
Which of the following is the derivative of  
then the derivative is 
is 
then the derivative is 
then the derivative is 
Question 2
Which of the following graphs of
satisfy the following three conditions:
for
for
for 
Question 3
Consider the graph below.

Which of the following is the matching derivative function?
and
so the graph of the derivative must cut the axis at these points. The
graph moves from positive gradient to negative gradient and back to positive
so the graph of the derivative is positive then negative and then positive
again.Question 4
Which of the statements below correctly match the function with its derivative?
|
Graph C has negative gradient to a bit more than 2 and then positive gradient. This matches graph F.
Similarly for the other 3 graphs.
right first
right
wrong