Calculus - Rules of Differentiation

[@wendygarcia3453]

Oh, man. I think I love you. You seriously just saved me from hitting a brick wall tomorrow on a test. You are a gift from God. Thanks for the video!

[@TheAlternativeScoop]

Haha you're welcome. I appreciate your, and everyone else's, positive feedback. Good luck on the test!

[@MrBrown78]

thankyou so so much at first i was lost with calculus and differntiating functions but know, hooo boy you are a genius and as Wendy said a god

[@priscillotsiarova537]

Can't believe I found a comment that is relatable as this atm

[@chifumujere3243]

Precisely indeed am enjoying

[@dex5727]

Facts

[@JohnMazzz]

this seriously is the most simplest way of showing the rules, i thank you my friend

[@linacarr8945]

Thank you for taking the time to summarize this so well.

[@ScotMatson]

Thanks for such a clean and organized refresher. Prepping for my final and this just summed up a ton of backlogged knowledge that I needed to scrape out.

[@elvismj9824]

men i u cant imagine how u helped me coop with my classmate who already did this but through ur teaching made me love math and am now sure of what am doin..

[@sierralobo7163]

I was a bit skeptical about whether I could really review all I needed to with just a 5 minute video. But it turns out I could! Thank you so much! :) You've been such a big help to me.

[@bapattushar]

Brilliant stuff... you are my best teacher..

[@Sock1122]

2:40 can anyone explain to me why the bottom function here is written differently to the first example [h(x)]^2 and is instead sin^2x ? I would have assumed it would be [sin(x)]^2 but maybe thats because I don't understand trigonometry/sin

[@ninjabreadgirl]

Thank you so much for this lovely, simple video! You are awesome!!

[@viggubala8018]

Thanks for the video sir.You explained very well sir.

[@jackcountryman8607]

So helpful, Calc is so hard but this makes it so easy

[@tusharxx1]

thank you so much sir now i have a way better understanding of differentiation all thanks to you

[@45nv4]

So Good video hope you share more on integration :)

[@TheMelonStorm]

Would you be able to explain how cosine is the derivative of sine? Thanks.

[@blessykhan5349]

great job

[@nattapat8690]

Isnt the Product rule is h(x) = f(x) g(x)?

[@seulyenarellano6596]

i'm crying out of sheer joy

[@rajharsh3114]

Is this it ? Is this all ? Or the Dy/Dx thing(s) (4 formulae) are different ?

[@vjmolina4446]

ohh you save my grade thankyouu so much keep it up

[@azrabatrisyia1125]

May I ask ? How do you make this video ? Any apps? Or how?

[@mohamadassi]

Thank you so much for the explanations!

[@Zameer07g]

very well explained thanks

[@math6245]

What drawing program do you use?

[@ScottDearing]

Corel Painter Essentials 2 for Mac with a Wacom drawing tablet. This combination is likely outdated by now, though.

[@RanBlakePiano]

So helpful

[@MichaeIRedd]

Yes but he was taking the derivative of sin(x) not cos(x). f(x)=sin(x), f'(x)=cos(x) f(x)=cos(x), f'(x)=-sin(x)

[@engrciiltireomar5256]

good calm teacher

[@tha1ne]

I have a question about the power rule: it seems that the derivative of anything to the power of 1 is 1. For example, if x = 64, then the derivative is 64 to the power of (1-1) times 1, which is 1. However, x is also equal to 8^2, and the derivative becomes 8 to the power of (2-1) times 2 which is 16. Isn't this contradictory??

[@adarshjohn6407]

tha1ne Actually, all constants become zero after differentiation.

[@glenntabar248]

i thought deriving a constant like 3 would give you 0? 4:28

[@Chuma.N]

+Glenn Tabar yes if its a constant alone then it would be zero..but if its a constant and a variable/function then u take the constant out and derive the variable/function

[@cyborgdale]

It's just another application of the power rule. The constant 3 can be thought of as 3 time x^0, since x^0 is one. When we multiply the constant 3 by zero, we get zero. Yes, x^0 would become x^-1 however it is multiplied by zero so the result of the entire term becomes zero.

[@Byrnes707]

isn't the derivative of cos(x) = - sin(x) ?

[@kyadav_7079]

yes it is

[@HellYeahItsEIVZ]

Thank you, kind sir

[@melaniegarza4343]

Thank you! I think I love youuuuuu

[@100pi]

Nice

[@unityForEthiopia]

God bless you!

[@fabiananthony7119]

Thank you very much

[@hristijanspaseski1373]

THANK YOU!!!!!!!

[@abdiqanicaligalol6192]

Thanks

[@greencrossedsteak210]

is this right- cos(5x + 5h) -cos(5x) = -2sin[(5x+5h)+5x] × sin[(5x+5h)-5x] [2] [2]

[@gogo451000]

It helped thanks

[@aDorkableKimmy]

yea

[@joycemayor1386]

thanks!!!

[@lordgrim1958]

Thanks :)

[@pakistanijanbaz4425]

thank u

[@pakistanijanbaz4425]

integration plzzz

[@owootorinoah5567]

helped