Guidelines for Solving Related-Rate Problems
- Identify all given quantities and quantities to be determined. Make a sketch and label the quantities.
- Write an equation involving the variables whose rates of change either are given or are to be determined.
- Using the Chain Rule, implicitly differentiate both sides of the equation with respect to time \(t\).
- Substitute into the resulting equation all known values for the variables and their rates of change. Then solve for the required rate of change.