Name: Estimating derivatives | Derivatives introduction | AP Calculus AB | Khan Academy
Uploaded: 2022-07-12T12:18:16.000Z
Duration: 5 min 56 s
Description: Thousands of YouTube videos with English-Chinese subtitles! Now you can learn to understand native speakers, expand your vocabulary, and improve your pronunciation...

- [Instructor] So we're told that this table

gives select values of the differentiable function F.

it tells us what the corresponding f(x) is.

So this is the derivative of our function F

We know that these would sit on the curve of Y

clearly, two different scales on the X and Y axes.

well, we're trying to make a best estimate.

And using these points, we don't even know

We could try to fit a reasonably smooth curve.

The curve might look something like that.

'Cause they've just sampled to the function

this exercise, let's assume the simplest,

that goes through these points, just like that.

if this yellow curve were the actual curve

then what is the slope of the tangent line, at that point?

We know that the actual function has to go

But I'm just doing this for visualization purposes.

around a point, is, let's use a data points

And that's going to give us our best estimate

They give us this point, right over here.

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Estimating derivatives | Derivatives introduction | AP Calculus AB | Khan Academy

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