Don't have my book or audio?  You can download a free sample of my book and audio lectures containing Lessons 1 and  2:

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? Click here.

Did you see my tips for Assignment 2? Click here.

These are tips for the assignments 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:

Study Lesson 5 (The Differentiation Rules), Lesson 6 (Implicit Differentiation), Lesson 7 (Related Rates), and Lesson 8 (Log and Exponential Derivatives)  from my Intro Calculus book to prepare for this assignment.

A good runthrough of your differentiation rules as taught in Lesson 5 and Lesson 8.  Make sure you have studied both of those lessons before you attempt this question.

These are very challenging trig limits using the principles I illustrate in Lesson 2, question 16.  Both are a matter of exploiting the sinh/h pattern.

You should find my Optional Proofs in Lesson 5 of  help here, especially page 159.  Note that b is just a coefficient, so it is merely a matter of multiplying b in to every step of my proof.

Another application of the log derivative formula introduced in Lesson 8.  Once you solve the derivative, use the methods I teach in Lesson 1, question 4 to solve the unknown base b.

Classic implicit diff as taught in my Lesson 6.

Very similar to my Lesson 8, question 2.

Classic related rates (Lesson 7) similar to my Practise Problem 3.

Classic related rates (Lesson 7) similar to my Practise Problem 1.  But there is a twist!  They don't want dx/dt or dy/dt.  They want dD/dt where D is the distance between two points formula.  I use that formula in Lesson 10, question 9, page 323.  Ignore the context of that problem as it has nothing to do with related rates, but it does show you how to set this problem up.

In fact, the distance between two points formula is just an application of Pythagorean Theorem.  Here, because the second point is just the origin (0,0) and the point of interest is any point on the curve (x,y), this amounts to D being the hypotenuse of a right triangle with horizontal leg x and vertical leg y.