Here we look at rates and the affect on/from position. We will be utilizing the implicit differentiation we learned before here. These are the main steps in solving these questions:
1. Find the relationship between variables and create an equation based on this
2. Differentiate BOTH sides of the equation (must differentiate first before plugging any values in)
3. Plug in the known/given values and solve for the unknown.
Here are some videos with the most common examples of related rate problems:
Related Rates in Calculus (cr: Professor Dave Explains)
The Infamous Shadow Problem (cr: Organic Chemistry Tutor)
Balloon Problem (cr: Khan Academy)