Related Rates Distance Example











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This Calculus 1 related rates video explains how to find the rate of change of distance between two cars. We show how the horizontal, vertical, and overall distances between the vehicles are changing with respect to time, and we use the distance formula (and Pythagorean Theorem) to relate these rates of change. We differentiate the distance formula with respect to time, emphasizing the chain rule, and show where to get everything we need to plug in to solve for how quickly the distance between them is changing. We emphasize the correct units as we work through our explanation, and show how they reduce/simplify as we go. • 0:00 Interpreting the problem information • 2:47 Differentiating the distance formula • 4:31 Plugging in the values to solve • Houston Math Prep Calculus 1 Playlist:    • Calculus 1   • Houston Math Prep YouTube:    / houstonmathprep  

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