Applying the formula for n=0 gives us f '(x^0)=0*x^-1. But x^-1 is undefined for x=0 (x^-1=1/x). Instead, the Constant rule (f '(C)=0) covers the case for n=0. Applied for n=0, we have f '(x^0)=f '(1)=0. There's a subtle difference.
Just had to come back to this :) I said it was undefined for x=0. 0*0^-1 is 0/0. That is why the power rule doesn't hold for n=0. For any other value n>0, n*x^(n-1) is defined for any x. Hopefully it will convince you when I tell you that this isn't my explanation. Any math book will tell you the same.
Why is it that cubics (y=x^3) and parabolas (y=x^2) have the same rules when it comes to translation, reflection and dilation? If a cubic has the equation y= 0.5x^3 and a parabola has the equation y=0.5x^2, both will be really wide and stretched out across If a cubic has the equation y= - x^3 and a parabola has the equation y= - x^2, both will be upside down why are there these similarities?
In defense of Sal, he probably kept all that out 'cause he only wanted to introduce the topic in this video. Maybe he has another video that explains that?
I hate the Khan Academy system and I think that it really needs a lot of changes. For instance, it needs to get rid of the function of degrading your level in a certain subject if you get one question wrong in a Mastery Challenge. Unless this function is thrown out in the trash, I'm going to say that Khan Academy, other than it's Computer Programming section, is a horrible website and doesn't help you but rather gives you nothing but stress and dead brain cells.
+sheenufilms Mastering something doesn't mean you need a website to tell you. You should use the site to understand the theory and practice problems, not collect points. That's just to keep kids entertained.
Stop doing super easy examples!!! We’re not in elementary school and when I come here to watch something that would teach me how to solve my complicated question, I can’t find anything like that on UA-cam, everyone only knows how to do easy qs only
that feeling when your teacher has been making you solve with the limit, and this was all you had to do...
LOOOOOL this was me yday
That was ridiculously simple! Can't believe I didn't understand that when my professor went over it!
You're the best. Thank you so much for these videos, they help tremendlously.
thank God I found you, I was so confused & now I actually understand it :) THANK YOU!
+LinaBambinaxo hi:)
Applying the formula for n=0 gives us f '(x^0)=0*x^-1. But x^-1 is undefined for x=0 (x^-1=1/x). Instead, the Constant rule (f '(C)=0) covers the case for n=0. Applied for n=0, we have f '(x^0)=f '(1)=0. There's a subtle difference.
You are good at teaching, it's so specific
Just had to come back to this :) I said it was undefined for x=0. 0*0^-1 is 0/0. That is why the power rule doesn't hold for n=0. For any other value n>0, n*x^(n-1) is defined for any x. Hopefully it will convince you when I tell you that this isn't my explanation. Any math book will tell you the same.
thanks. i was stressed out this soothed me
I love you Sal! :)
will sell my life for this man
Sal, you are awesome!
Why is it that cubics (y=x^3) and parabolas (y=x^2) have the same rules when it comes to translation, reflection and dilation?
If a cubic has the equation y= 0.5x^3 and a parabola has the equation y=0.5x^2, both will be really wide and stretched out across
If a cubic has the equation y= - x^3 and a parabola has the equation y= - x^2, both will be upside down
why are there these similarities?
it is because the graph of cubics is wider than parabola.
you sound like a smart version of Bane from batman
Sorry didn't realise x was zero. Btw, don't write f '(x^0). It implies you are plugging in x^0 into the function f '(x). Instead write d(x^0)/dx.
No... 0*x^-1 is not undefined. The zero is on top of the fraction. It is simply zero.
three step rule pls..
how to proof it for real number
gostaria de asistir as videoaula em portugues como eu faço.
He’s in the same mood I am
thx m8 :) >
If this is ap calculus work then why am I learning this in regular calculus
1st comment!!!!
No one explains WHY the exponent becomes a coefficient and WHY the exponent is reduced by 1. Christ :(
In defense of Sal, he probably kept all that out 'cause he only wanted to introduce the topic in this video.
Maybe he has another video that explains that?
It’s just a rule I guess
I know the proof if you wanna know from me
I hate the Khan Academy system and I think that it really needs a lot of changes. For instance, it needs to get rid of the function of degrading your level in a certain subject if you get one question wrong in a Mastery Challenge. Unless this function is thrown out in the trash, I'm going to say that Khan Academy, other than it's Computer Programming section, is a horrible website and doesn't help you but rather gives you nothing but stress and dead brain cells.
+sheenufilms Mastering something doesn't mean you need a website to tell you. You should use the site to understand the theory and practice problems, not collect points. That's just to keep kids entertained.
Ding dong your opinion is wrong
dude same im with u
I hate the way that all these guides ignore what you do if it's a square or cube root of x, or if a number is being divided by x. What a joke!
Stop doing super easy examples!!! We’re not in elementary school and when I come here to watch something that would teach me how to solve my complicated question, I can’t find anything like that on UA-cam, everyone only knows how to do easy qs only