Real world example for derivatives

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SUMMARY

This discussion centers on the application of derivatives in real-world scenarios, specifically focusing on acceleration and velocity. It establishes that acceleration is the derivative of velocity, representing the rate of change of velocity, while velocity itself is the derivative of displacement, indicating the rate of change of displacement. These foundational concepts illustrate how derivatives are integral to understanding motion and change in various contexts.

PREREQUISITES
  • Understanding of basic calculus concepts, particularly derivatives
  • Familiarity with the concepts of velocity and displacement
  • Knowledge of the relationship between acceleration and velocity
  • Basic physics principles related to motion
NEXT STEPS
  • Study the application of derivatives in physics, focusing on motion equations
  • Explore real-world examples of derivatives in engineering, such as ramp design
  • Learn about the mathematical definitions and properties of derivatives
  • Investigate the role of derivatives in modeling natural phenomena, like tides
USEFUL FOR

This discussion is beneficial for students in calculus and physics, educators seeking practical examples of derivatives, and anyone interested in understanding the application of mathematical concepts in real-world scenarios.

guitarrc6
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hey guys, i failed calc last year and got a bad grade in physics. But i still want to learn about both. My question is about deratives. I have yet to find a real world example and how to apply the formulas to it. I've hurd that the curvature (dunno if that's a word) of on/off freeway ramps use deratives, and that the tides use deratives. Does anyone have an example of how you can apply the derative formulas to any real world thing, and explain how you got your answer? Any comments would be appericiated.

thanks, brian
 
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Sure.

Your acceleration is a derivative of your velocity - it the rate of change of your velocity.
Your velocity is a derivative of your displacement - it the rate of change of your displacement.

Those are probably the two simplest examples. :smile:
 

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