Calculus - Understanding the chain rule

[keeperbruh]

You taught me more in 12 minutes than my teacher taught me in four classes. Thank you so much!!!

[joshm]

Thank you so much. You're literally the reason why I passed my calculus final exam.

[catherinesmith]

this guy has such a soothing voice to listen too for when i’m having a mental break down over my calculus homework

[vpzxyst]

Nicely explained!
Something worth mentioning in the video though is why you multiply the derivatives, instead of, say, add or subtract them;
in 2:06 you say it's made of 2 smaller processes and then you just write them next to each other but it's not very clear why multiplication is the right action.
If one of the derivatives is twice as big, then the whole derivative should, too, which makes sense but is not a very trivial argument.
l think it'd be better if you added some note about it, either in the description or as an annotation.
Thanks!

[RobynHuff]

Thank you! I've been trying to get a more intuitive understanding of this rule because I don't like the blind 'plug and chug' formula thing. I'm still not 100% sure on it, but I feel a lot closer to understanding.

[danielwalker]

This makes way more sense. I'm semi-studying for Calc next year and I'm in Honors Algebra II right now. I've seen like 3 videos on the chain rule and they never explain it. They just say it as it is. Thank

[amruthadhanabalan]

This helped me a lot!! Keep making such beautiful videos! Your patience is so cool when it comes to teaching such complex topics.Thanks a lot buddy!

[petermm]

Excellent. Thank you. I've watched a number of chain rule videos, and this is the first time it clicked really for me. I sort of understood it, but didn't feel comfortable. Now it makes sense to me. I had a bit of trouble following the triple, but I'll watch it again and maybe write it out with the f, g, k from the previous part.

[shadaeadams]

Thank you, but could you explain to me how you got (f' = 2x) when you are trying to find (h')=4

[glennrickelton]

I keep referring to this video as it makes the chain rule much easier to understand. I now understand the "mechanics" of what is going on. The only confusing aspect is (for example on the first equation) the number 4 is still added to the inner equation which still goes to 3 but we also have the derivative of 2 from the first input so we are using 4 and 2 rather than just one of the numbers

[mayuripopat]

Wonderful style of explaining maths..i really liked your tutorial...

[sbriscoe]

Thanks. First time I saw chain rule with 3 things... Now I get it

[KerinnLee]

Thank you so much! This video really helps me understand what the chain rule actually means when finding derivatives. :)

[joelharrison]

Why not just factorise to give 4x^2 - 20x +25 then differentiate to give 8x - 20 and sub in x=4?

[forresttt]

this makes a while lot of sense now. I was trying to find the d/dx of ln(sinx). Which, going by what this says, spit me out cotx, which is correct. Thanks!

[glennrickelton]

At the 4 minute 41 second point of the first working, how does the derivative of F = 2X?

[glennrickelton]

With regards to my earlier question about where do you get 2x from - I see that you multiplied the exponent by the inside function of "X" or "U" depending upon notation

[koteswararaokonduru]

Sir really it is very useful for children thank you

[jamilabenyedder]

you so very much for your videos you are probably gonna save me from failling in calculus xD

[joshm]

Mr Eric, is there a way we can donate as a token of our gratitude? This may also help you continue with your good work. Please start a patreon account :)