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Related Rates

Related rates are an application of implicit differential whose variable of differentiation is typically in terms of time \(t\). These problems, as the name suggests, relate various rates by analyzing differentials. 

To solve these problems,

  1. Construct a diagram that will capture the meaning of the problem at hand.
  2. Use the diagram to better understand the problem.
  3. Determine how to Relate Quantities to find Rated relates. 
  4. Develop a system of equations
  5. Compute the necessary differentials
  6. Plug in the given values and solve for the indicated variable