What Does $\frac{d\vec{x}}{dt}$ Represent in Vector Calculus?

Thread starter Jordash
Start date Jan 29, 2009
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Derivatives Vectors

AI Thread Summary

The expression $\frac{d\vec{x}}{dt}$ represents the first derivative of the displacement vector with respect to time, which is commonly understood as velocity in vector calculus. This indicates how the position of an object changes over time in a specific direction. Understanding this concept is crucial for analyzing motion in physics and engineering contexts. The discussion highlights the importance of derivatives in describing dynamic systems. Velocity is a fundamental concept that connects position and time in vector analysis.

Jan 29, 2009

Jordash

Homework Statement

What does \mathbf{\frac{d\vec{x}}{dt}} mean? If my latex doesn't work that should be

dx/dt where x is a vector?

Thanks,

I think it has something to do with derivatives if so how do I use it?

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The Attempt at a Solution

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Jan 29, 2009

LowlyPion

Homework Helper

\mathbf{\frac{d\vec{x}}{dt}}

This is the first derivative with respect to time of the displacement vector ... aka Velocity.

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