14 Related Rates

What are related rates?

(1) relating a formula with time

(2) figuring out the rates of change

What are you doing when you’re taking the related rate of a formula?

(1) you’re just taking the implicit derivative with respect to time in order to figure out the rates of change

What does this mean?

the rate of change of unit, with respect to time

how fast or how slow unit is growing

Steps to Finding the Rate of Change

Step 1: Assign variables and letters

Step 2: Identify the formula you’re using

Step 3; Identify what the derivatives for each variable mean (du/dt), understand what you’re doing

Step 4: Take the implicit derivative of your formula

Step 5: Plug in values and solve