Did you read my tips on how to study and learn Math 1500?  If not, here is a link to those important suggestions:

Did you see my tips for Assignment 1?  If not, here is a link to those important suggestions:

Did you see my tips for Assignment 2?  If not, here is a link to those important suggestions:

Did you see my tips for Assignment 3?  If not, here is a link to those important suggestions:

These are tips for the third assignment in the Distance/Online Math 1500 course, but I strongly recommend that you do this assignment as homework even if you are taking the classroom lecture section of the course.  These assignments are very good (and challenging) practice.

Here is a link to the actual assignment, in case you don't have it:

Note that you need to study Lesson 9 (Curve-Sketching)  from my Intro Calculus book to prepare for this assignment.

Don't have my book? You can download a sample containing lessons1 and 2 here:

Make sure you read my tips on how to compute and simplify derivatives after question 4 in Lesson 9 (starts on page 276).

In part (c), you will get a negative exponent when you do the derivative.  Pull that down to the denominator and then get a common denominator to properly identify the top and bottom zeros.

This question is asking for the critical numbers.  That means they want the critical points and singular points.  The top and bottom zeros of the first derivative are the critical numbers.  Make sure you give both the x and y coordinates of your critical numbers (i.e. make a table of values for each).  Recall, as I say in Lesson 9, e^u has no zeros.

Similar to my question 5 in Lesson 9.

This is a Mean Value Theorem question.  Click the link below for the procedure to follow to "verify" the Mean Value Theorem:

Again, you are analyzing f ' (x).  The first derivative tells you where a function is increasing or decreasing and if the critical points are local maximums or minimums.  Be sure to give the (x, y) coordinates of all the local extremes you identify.  Make sure you look at the tips on page 276 for assistance in simplifying your derivatives.  You may also find my Practise Problem 1 at the end of Lesson 9 helpful in checking your derivative for part (a).

You are analyzing f '' (x).  The second derivative tells you where a function is concave up or concave down and if you have inflection points.  Be sure to give the (x, y) coordinates of all the inflection points you identify.

A classic curve sketch problem.  Expect something similar on your final exam.