The derivative is what is necessary to solve Zeno’s “The Arrow” paradox. In this paradox, Zeno asks how an arrow flying through the air can have a velocity at an instant in time. For at each ...

You can find the value of the average velocity in the limit as Δt goes to zero seconds. This is in fact what we call a derivative. We can write it as: Yes, that's not the way mathematicians would ...

That velocity is just a measure of your change in position -- its derivative. So, to find your velocity, we'll need to find the derivative of your position. And in order to determine THAT ...

For velocity and acceleration, you need derivatives with respect to time. Recall that you can use the chain rule of differentiation in order to effect the derivative of y with respect to time: dy/dt = ...

For that, we need a bit of math. The velocity of an object is the first derivative of the objects’ position in space over time: v = dx/dt Simply speaking, the derivative measures the sensitivity ...

this would be called instantaneous velocity. This is just the limit as the time interval approaches zero. Of course that makes this a derivative with respect to time: That's velocity. Pretty much ...