So the instantaneous slope is the derivative.

It's using Bluetooth 4, so it's pretty instantaneous.

And I looked it up Usain Bolt's instantaneous velocity his peak instantaneous velocity is actually close to 30 miles per hour.

As far as he's concerned, the trip was instantaneous.

Now, to see how this is different than instantaneous velocity,

The first interresting thing is that E.T. seems to provide a instantaneous teleportation power.

And what we're gonna see in a second is how average speed is different than instantaneous speed.

And by getting super, super small changes in y or changes in x you are able to get this instantaneous slope or in the case of this example the instantaneous speed of Usain Bolt right at that moment.

light, which is something that we think is almost infinitily fast (that, you know) something that looks instantaneous

As delta x aproaches zero of change in y over your change in x and when you do that you are going to approach that instantaneous rate of change you could view it as instantaneous slope at that point of the curve.

Now we have multi language, instantaneous, automatic translation services available for free via many of our devices, all the way down to smartphones.

In fact, temperate and tropical rainforests each produce a vibrant animal orchestra, that instantaneous and organized expression of insects, reptiles, amphibians, birds and mammals.

Or if you want to do in the calculus sense and take instantaneous angular velocity it would be the derivative of your angle with respect to time

So the slope over here might be 23... whatever miles per hour, but instantaneous, his fastest poin in this 9.58 seconds is closer to 30 miles per hour.

I'm really worried that, especially kids today, they're not going to be dealing with this down time, that they have an instantaneous button clicking culture, and that everything comes to them, and that they become very excited about it and very addicted to it.

And we're going to show you, instead of the kill laser, which will be a very brief, instantaneous pulse, we're going to have a green laser pointer that's going to stay on the mosquito for, actually, quite a long period of time otherwise, you can't see it very well.

Instantaneous rates of change differential calculus and Newton's term for differential calculus was the method of flexions which actually sound something fancier but its all about what's happening in this instant in this instant and to think about that why it not a super easy problem to address with the traditional algebra, lets draw a little graph here.

Jamaican sprinter who's continuing to do some of his best work in 2012 and as early of 2012, he is the fastest human alive he would probably be the fastest human that has ever lived and you might not have made the association with these three gentlemen.Might not think they have lot in common but they were all obsessed with same fundamental question that differantial calculus addresses and the question is what is the instantaneous rate of change of something.