This proof lays down the physical meaning of dy/dx. I've seen other proofs that just use abstract mathematical steps, just to prove the relation. But this one is bang on. Thanks a lot
The derivative can also be written as lim [(f(x+h)-f(x))/h] as h-->0 plug f(x)=x^n and use the binomial theorem to expand (x+h)^n this is easier than your proof
I like the Facial Expressions...
I can finally understand 'Why is the derivative of x^b equal to n*x^(n-1)' thanks to you!!
Thank you soooo much! Thumbs up:)
You're totally welcome!
I'm glad you enjoy them. ;-)
This proof lays down the physical meaning of dy/dx. I've seen other proofs that just use abstract mathematical steps, just to prove the relation. But this one is bang on. Thanks a lot
The derivative can also be written as lim [(f(x+h)-f(x))/h] as h-->0 plug f(x)=x^n and use the binomial theorem to expand (x+h)^n this is easier than your proof
awesome! I forget this each time I put down calc for long enough.
Woah, really nice explanation ❤️
I'm glad you liked it!
Thank you, this is splendid, helped my futher mathematics.
You're welcome!
Sir can you make a video with a slower pace?
thank you Sir for this great explanation
Thank you Sir for this great explanation.
This is neat. It's the most fundamental derivation.
Gloria Li Thanks!
But what is the proof of x^-n=-nx^-n-1?
nice informative video..
Even I enjoy solving maths problem Sir
And can you tell me if the whole thing is approximate? I mean x is not equal to a, x approaches a. So nx^(n-1) must not be equal to na^(n-1).
you could scratch better subtraction and product. they look as the same in the video
love from
bangladesh
Thank u!
i dont like the facial expressions, but the video is informative
Thank you Sir for this great explanation