Implicit Differentiation & Related Rates
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 – Samuelson
Additional links for reference purposes are found below.
samuelson mathxp 