The notes contained in the link directly below introduce you to Implicit Differentiation and Related Rates; these rate problems will typically involve three variables, one of which is "time". Our lighthouse problem, as outlined in my Differential Calculus - Samuelson link, is itself a related rate and can be solved through the explicit process. Having said that, the implicit procedure lends itself in a more consistent manner to a wide range of related rate problems. Consequently, I thought it appropriate to describe that process at this time and provide examples of its use in solving several related rate problems. These examples will provide the remaining tools required in completing the task laid out in the lighthouse problem, as referred to earlier.

Implicit Differentiation & Related Rates

Additional links for reference purposes are found below.

Implicit Differentiation

Related Rates

## My Belief Statement

**My Belief Statement:**_It is better to be defeated on principle than to win on lies._ Arthur Calwell

Many students have a serious phobia when it comes to Math class, let alone writing an exam in that subject. I believe this phobia can be dispelled by "digging" into the "WHY " and the "HOW". In fact, many students WANT this. I attempt, wherever possible, to connect a geometric representation to its algebraic counterpart; an analysis of how the two versions interact is important. Contrary to what SOME individuals may think, I'm not at all afraid of technology. I AM, however, cautious to not "jump into the deep end"; we need to grow with this and "dovetail" the old with the new so that they COMPLIMENT each other.

I have several links in the sidebar at the right, as well as some of my own discriptions on various topics. These will grow in number and evolve over time, as will my hand-written notes; these can be viewed by following appropriate links which you will find throughout this blog. These notes will also be posted on my facebook site if that happens to be your preferred mode of viewing; I've included a link to that in the sidebar as well.