3.9 Part 2 of 5: Related Rates - Street Light Problem | Differential Calculus

Step #1: Read the problem and sketch a diagram
Step #2: Label the diagram and state the given conditions using appropriate notation. For example, use dx/dt instead of "rate". Make sure the units are consistent
Step #3: Draw the primary equation
Case 1: If every variable is changing (i.e. there is a dx/dt, dy/dt given in the problem), use implicit differentiation first and then plug in the given quantities
Case 2: If one of the variables is not changing (i.e. x is changing and dx/dt is available but y is not changing and dy/dt is impossible to be determined), you have to use similar triangles or other substitution methods to express y in terms of x AND THEN plugin this y back to the primary equation, and then you do implicit differentiation.

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