3.11 Related Rates

Examples of solving related rates problems i.e. applications of rates of change.

Guidelines for Solving Related-Rate Problems
1. Identify all given quantities and quantities to be determined. Make a sketch and label the quantities.

2. Write an equation involving the variables whose rates of change either are given or to be determined.

3. Using Chain Rule, implicitly differentiate both sides of the equation with respect to time t.

4. After completing Step 3, substitute into the resulting equation of all known values for the variables and their rates of change. Then solve for the required rate of change.