if 0.9999.... is 1 ( since there is no real number between them ) then is [0.999...] =1? or is 1 > 0.9999... by dx which will result in [0.999...] = 0 i am confused🙏
@duckyoutube63186 ай бұрын
Im pretty new to calculus and i have a question if anyone would care to help me. I know how to find the derivative of sqrt(x) by using the power rule. f'(x)=1/2sqrt(x) But how do i find it using the limit definition? Is the following correct.... Lim h->0 f(x)=sqrt(x) Lim h->0 f(x+h)-f(x)/h Lim h->0 f(sqrt(x+h))-f(sqrt(x))/h Is that correct? Am i to assume that both x and h are roots? Or would it be better to look at it like this... lim h->0 f(x+h)^1/2-f(x)^1/2 --------------------------- h
@duckyoutube63186 ай бұрын
As i was sitting here i just realized why dont i just try it on paper and see if it fits the answer that the power rule says it is.... Im not smart at all.
@davidcroft956 ай бұрын
Maybe I'm late for this, but try to "rationalize" the denominator: the difference of square to cancel the two square-roots. After that it's just algebra. Hope this helps :)
@souysf99266 ай бұрын
Analysis and calculus IS it thé same ??
@crispeto_27676 ай бұрын
Always has been... (Linear algebra is everywhere)
@urluberlu27576 ай бұрын
🤩👍
@eswyatt6 ай бұрын
Your'e also teaching us how to make videos by setting them up for editing but not actually editing!
@Ynook6 ай бұрын
I was wondering about that part too. He took a long pause, then he redid the explanation. :))) Maybe he forgot to cut that part out.
@eswyatt6 ай бұрын
@Ynook He's done it in other vids. I like the rawness