Applications of Differentiation – Related Rates

Related Rates

Related Rates problems involve the deriving of functions that are related to each other.

Examples

  1. Find the rate at which the height of a cone is increasing as water fills it at a constant rate.
  2. Find the rate of decrease of the height of water in a cone as water is draining from the cone at a certain rate.

Example 1

Find the rate at which the height of a cone is increasing as water fills it at a constant rate.

Example 2

Find the rate of decrease of the height of water in a cone as water is draining from the cone at a certain rate.