Differentiation by the Chain Rule

Рет қаралды 5,763

Күн бұрын

Пікірлер: 44

@davidcolf8362 Ай бұрын

Great explanation of the chain rule. And I so appreciate your inclusion of biblical verses at the end of each video. God bless you, PN.

@lano-i4x Ай бұрын

istg u have saved my life sir no teacher nowadays actually cares if students learn math they js teach the lesson dryly and go on about their day thank u so much keep up the good work

@rasitylcn2120 Ай бұрын

I watch you from Turkey, I like your energy, now I solve the questions with you. :)

@DigbyWood-v6k Ай бұрын

You can initally take a 5 out of the logarithm, so you get f(x)=5ln(sec(x^4-1)). Thats why the derivative is much simpler, there was an inital simplification.

@Grecks75 Ай бұрын

True, it saves you one application of the chain rule.

@maburwanejohannes4647 Ай бұрын

Fun fact: Integrating the derivative obtained would be much easier.

@dan-florinchereches4892 Ай бұрын

I think using properties of logarithm to pull out the power of 5 before differentiating would make less steps

@BartBuzz Ай бұрын

Nicely done. A perfect video for applying the chain rule.

@jaymincorn4379 Ай бұрын

I love doing these questions mentally and then seeing your process Thank you for the video

@wafflaaar1067 Ай бұрын

pretty wild stuff... differentiating a composite function like that results in a much simpler looking function

@yoshi7530 Ай бұрын

hardest question is to calulate how many hats he has

@ivanhuertas5307 Ай бұрын

a straw man fallacy... These videos are intended for teaching, learning and we should be grateful for that to the teacher for sharing their time and knowledge, if we don't see it that way let's see another type of videos more in line with what we write... Thank you for your teachings Prime Newton

@yoshi7530 Ай бұрын

@@ivanhuertas5307 wut

@Vanadist Ай бұрын

@@ivanhuertas5307 Greatest reply ever

@talcual2138 Ай бұрын

I love your work, and I think calculus is a better choice than bizarre problems. Go for differential equations, double integrals, Gaussian etc etc. It's a joy following you!

@chriscalderon1337 Ай бұрын

Next time I would take the power of -5 out of the log first. So f(x) becomes -5 log(cos(x^4 - 1)).

@momchilcvetanov5965 Ай бұрын

yeah and also here a minus comes out, i did it with the fact that sec is 1/cos and still a minus came out. where is it lost bc i cant see a problem with his solve(maybe i am blind)

@ThePhotonMan110 Ай бұрын

Yesss back to calculus my fav branch

@actualRocketScientist Ай бұрын

Hey just wanted to say that I love your videos. I do know most of the stuff because one of my degrees is in math but I still enjoy doing math for fun and yes I know that's weird.

@arkadeusz91 Ай бұрын

Nah man... I like doing math for fun too. It's not weird. Right? RIGHT?!😅

@actualRocketScientist Ай бұрын

@arkadeusz91 it's all right we can be friends and do math together lol. Currently trying to solve the Riemann hypothesis. I seriously doubt I will figure it out but it's fun to think about nonetheless.

@teacherheng1688 Ай бұрын

Nice sir

@vasiledumitrescu9555 Ай бұрын

Amazing video as always. I have a question, if you know anything about it: do you think that a bachelor degree in math will give me an adequate preparation to pursue a major in theoretical physics later on?

@diegotorres2101 Ай бұрын

Hey man, I was wondering, you ever thought about doing "deeper" videos? I really enjoy the problem-solving and all that, but what about something more fun, like a problem from group theory, galois, measure theory, etc. I'd really love to see how you go about that, I mean, to give an example problem from my last midterm: Let H and K be normal subgroups of G, where H and K are disjoint sets, show that G is isomorphic to to some subgroup of G/H x G/K. I can give a few more ideas, but tbf, my knowledge is somewhat limited T_T, but yah

@lyndonhz 28 күн бұрын

Just wondering how you would go about integrating that final answer to get that initial function.

@PrimeNewtons 27 күн бұрын

This is a challenge. The only way is to know a lot about the original. Let me think about it.

@justabunga1 Ай бұрын

You could have use properties of logarithms first and then differentiate the function to make things a lot easier. By using properties of logarithm, the function is the same as y=5ln(sec(x^4-1)). The derivative of that function is, therefore, y'=(5(4x^3)sec(x^4-1)tan(x^4-1))/(sec(x^4-1))=20x^3tan(x^4-1). The result came out to be the same as before without the properties of logarithms.

@prasanth123cet 17 күн бұрын

Try integrating back and see whether you reach the starting point..😊

@abelfernandes6862 Ай бұрын

What's your height Prime Newton please tell me ?

@surendrakverma555 Ай бұрын

Thanks Sir

@asparkdeity8717 Ай бұрын

u = x^4 - 1 makes it incredibly easy to both integrate back and differentiate using chain rule

@Orillians Ай бұрын

yes sir!

@Noonecc Ай бұрын

I found the easiest question of his channel🤯🤯

@markweismiller773 Ай бұрын

Damn. You're awesome.

@Musterkartoffel Ай бұрын

I've got a quick question : is there a definite answer if 0 is tetrated to 0? I mean people can't agree on 0^0, so that should be even funnier

@kabeeralishaikh1439 Ай бұрын

😂😂ya i agree

@holyshit922 Ай бұрын

Do you want proposition for differentiation Calculate limit at z = 0 d^n/dz^n z/(exp(z) - 1) This limit should give us formula for Bernoulli numbers

@nothingbutmathproofs7150 Ай бұрын

When using logs to take a derivative you never have to use the power rule (nor the quotient or product rule). You should have brought down the 5!

@Metaverse-d9f Ай бұрын

just bring the 5 down (basic log property)，and (ln(secx))'=tanx, how can you differentiate it so slow?

@Grecks75 Ай бұрын

Watching you teach the basics: Maybe it would have been better to first explain briefly what the chain rule is before applying it in an example? For those who are learning.