Power Rule for Differentiation (3 of 4: Derivation of rule)

[lewisrees]

wow the power rule was never proven to me, I just took it as true and used it but you explained it clearly. thanks!

[cable]

Watching through these calculus lessons everyday to get a head start on my year 12 calculus stuff, but mostly because I honestly enjoy your teaching. Thank you so much!

[fisher]

Math education all over the world should be just this guy's videos. It would quickly become literally everyone's favourite subject (probably except for folks with math related learning disabilities).

[quantumgaming]

I'm in 10th grade now but I just can't wait to start Calculus next year. You showed me a way to enjoy math 😀

[sheebashrivastava]

Aww man I am jealous of these guys whom you teach offline..

[theeligator]

wow i love this thank you so much. you are the best teacher

[rubikashree]

my way of thanking him would be to watch all the ads completely haha

[emiloberg]

I'm not going to learn calculus until this fall (school start 20 of august) but I'm looking forward to it. Your videos have given me a GOOD base knowledge and I can actually follow whats going on. Sadly I don't think my teacher will go this deep if I've known her right, but if she doesn't I can always watch this video! Thank you! Your videos have given me hope, I'm gonna try to get a higher grade in math this course, thank you for the inspiration!


PS: You also have inspired me to become a teacher, I've never doubted what I wanted to be before I watched your videos. If i choose to study to a teacher I will probably be one in maths and science and would always strive to become as good as you!

[uswspxs]

thanks, have not seen this proof before, really great explained

[rmela]

What about when n is negative? Or not an integer.

[Hepad_]

Still not a rigourous proof since you didn't really prove the identity a^n-b^n = (a-b)(a^(n-1)+a^(n-2)b+a^(n-3)b²+...+b^(n-1)), but that's enough for their level.

[varunraju]

Which grade students are you teaching?

[vaibhavvadoliya]

At the starting of this video Eddie says let f(x)=x to the power of n, but he writes f(n)=x to the power of n ; so don't get confused there, it's done by mistake

[johnnolen]

Neat ... but it's only true when n is an integer. 🤔

[elltwo]

This proof assumes n is a natural number. Proof falls apart otherwise (though it is true the conjecture holds for n in the reals).

[little_pro]

Everyone if you want to learn more maths check out Robert Muscatello