Differentiating polynomials | Derivative rules | AP Calculus AB | Khan Academy

Once you know how to take the derivative of x^n, it turns out you can take the derivative of any polynomial. Let's see why... Created by Sal Khan.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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[Seancooke]

Just found your videos in the last few days. I am a Mechanical Engineering Graduate so I am not struggling with Math but I am still really enjoying the videos. I will pass these on to my younger cousins who will definitely get a lot from these

[rileysexton]

This guy is helpfulness and clarity incarnate.

[Kram]

The problem doesn't appear in this simple case. But more general cases might not make sense in case of 0.
If you go for f(x)^g(x), two generic functions of x, you gotta be more careful with places where those functions become zero.

[rushilpatel]

Sal: See you in future videos
Literally everyone: As if we can live without you

[gdogvibes]

Another great video, useful brush-up! Thanks Khan, happy late new year!

[JohnSmith-one]

If you just go and apply that rule to x^0 it would be 0*x^(-1) which is still 0.
Maybe x^0 doesn't mean anything at x=0, but the rule still kind of works.

[Danisanoob]

another great teacher is PatrickJMT he is calc/math based, i use Khanacademy for help with physics he is the best at explaining it on youtube

[Framblott]

It's maths in Great Britain and math in the US. Standard usage. Sort of like lift and elevator. I like lift more, but I live in Virginia.

[TheXatheron]

I still don't get why the formula doesn't work for n=0, the derivative expression becomes 0 anyway so the exception he mentioned really isn't an exception

[vicvarma]

"Fancy notation" is Sal's catch-phrase

[RiskFight]

OK so I did a limit problem online. It was the lim as x approaches 2 so I plugged 1.999 in the eq. And 2.0001 in the eq then used that answer. It was wrong. I had to factor the eq it said. So can u only use the thing where u go up And down a little from what x is approaching if the eq is factored or what. Thanks

[RiskFight]

Khan, if you ever get bored and want to make some quick money you should go on Jeopardy. lol.

[birdyearsago]

I see that's that removing the dislike button was a good idea.
Great job youtube

[Menegoth]

Though you seem to be strugging with saying the word itself, because it's maths. Not math. :D

[Menegoth]

So, because I semi tongue-in-cheek tell someone he used the wrong abbreviation of mathematics, I'm stupid?