Please note that I am now taking registrations for my midterm exam
prep seminars. Day Two of the Calculus seminar is this Saturday, Feb. 16. Please click this link for more info and to register, if
you are interested:
Did you read my tips on how to do well in Math 1500 Distance. If not, here is a link to those important suggestions:
Even if you are not taking the distance course, I think it is very useful for all Math 1500 students to attempt these hand-in assignments. In general, the assignments can be quite demanding and really force you to solidify your math skills.
Note that you need to 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.
Don't have my book? You can download a sample containing the first two
lessons here:
Question 1 is standard derivative stuff.
Questions 2 and 3 are standard implicit differentiation.
Question 4 is a challenging higher-order derivative. Make sure you simplify each derivative before you proceed to the next one.
Question 5 is more derivatives to do. Make sure you have learned how to solve a varvar derivative before you attempt this question (Lesson 8).
Question 6 is a very challenging problem. Be sure
to take a look at my Practise Problem questions 89 and 90 in Lesson 5
before attempting this question. The key is to label the point on the curve that is also on the tangent line as (a, lna), then find the slope of the tangent line using your high school slope formula and also by using derivatives.
Question 7 is a classic Related Rates problem.
