How to find the derivative using Chain Rule?
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- Опубліковано 17 вер 2021
- How to find the derivative using Chain Rule?
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#calculus
#derivative
#chainrule
Math Tutorial, Math Tricks, Math Brain Teaser and Riddle, Fast Math Tricks, Easy Math, Quick Math
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It's easy coz that's an easy example 😭
🤣🤣🤣🤣
Very easy man🤣
Chain rule is actually really easy, once u understand it
Eh much of calculus is just “have list of rules; identify rules; apply”, mathologer has a video that actually explains calc. Note that it can be boring/tedious but this is different from being hard
…integral calculus however where they don’t have a full set of rules (and in fact I believe it’s been proven impossible to have certain very useful rules, in particular the chain rule/function composition (derivative of f(g(x)) = f’(g(x))g’(x), makes it much easier to do functions in functions))
@@JGHFunRun i watched the mathologer video first par i lost him in the second part
Cool, now do it with inverse trigonometric functions, fractions inside of fractions inside of fractions, or the chain rule inside the chain rule.
Yeah
And with radicals
Can’t forget to say to add in a natural logarithm lol
And roots
lol exactly
It's all fun and game until you start sloving complicated questions
fax
Ya schools be taking questions like this as examples but then when it comes to tests it gets complicated
All fun until u reach the partial derivative
solving ✅
same shit, just do it with 1 variable bro
@@issalord7054
Don't say CALCULUS is easy!!!
Differential calculas is easy
But not INTEGRAL CALCULUS!!
Fact Bro :O
Exactly
implicit differentiation: allow me to introduce myself
@@sulfurtnt8061 bruh that’s basically finding the derivative then multiple the y variable by dy/dx if ur differentiating with respect to x
@@ElHal04 isnt as easy tho
calculus makin me wanna die this time around 💀
Calculus and easy doesn’t belong in the same sentence.
I WISH THESE WERE THE PROBLEMS I HAVE TO DO FOR MY HOMEWORK
your handwriting is immaculate!
I find this easier than Trigonometry.
No you dont bro. Trust me
@@DavidSigbi I'm at the Taylor series and curve sketching. I completely take back what I said. Lol
Same. The derivative of sin x is cos x then we have to find the exponent and magnitude
@@merrymaurader2521??
I wish all of calculus was that simple
It's just a fucking power rule
Seeing this before finals…. Lol
Here's your oscar 💀🏆
X2 💀
This is what I axact want.......
Nice.
Bro ur using the easiest example of calculus 😭💀
I was solving derivative of x^x^x^x^x^x as a break from much tougher math, and then I saw this 😂
Just spam ln lol
@@user-vc8pe3bv1d Yeah I remember i made some reduction formula so itd be easier. it ends up becoming a cascading chain of multiplying everything on the inner part by the nth tetration, n-1, n-2, etc until you get to x^x, where you can directly break it down to lnx + 1. Then you add the same x power and divide that by x and close off that term and mult by lnx until u finally just add (n-1)^^x. Idk what the actual in text notation for tetration is, ill just use that
All fun and games until you have to look for 3 derivatives. 😭😭
as an asian, differentiation is a piece of cake for us, 😂 soo easy
You explained so easily
Love you
Finally found someone agreeing with me on this. The hard part is the algebraic side of it.
Short and simple! Thanks so much!
i got us maam 😂 love you m
Thank you so much 🙏🙏🙏🙏🙏
చెరువులోకి దిగితెనే కదా దాని లోతు తెలిసేది..........
Tq soo much
Thanks I Had Several Doubts In Chain Rule .. because of Your Video I understand it
Thank you ♥️ you make my day
Very interesting video
Thnx a lot...it's very helpful
Thank you so much
Thank you
Alright then, integrate 1/(1+x^9).
=1over3+x^9+c
@@bradley5804 Damn!!!
Now integrate 1/(tan(x)).
@@daddy_myers daddy you've got me fucked up
@@daddy_myers =1overtanx+c
@@daddy_myers ow I did it in my head the actual approx when simplified is 0.9999999 but I got 0.333333 I barely Evan study calculus it was just an educated guess
Fun Fact:how do u expect me to remember all of this?
😂😂😂
Thankth
Thank you so much ❤
From 🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳
Thank you so much 😊❤️
Thank you so much 💞🥰
Thanks to MR sir 🌟
Thanks i was confused in a sum as im a neet Asp it helped
g(x) =ln(6x+5) can u show us this one?
6/6x+5
This is your question g(x) = ln(6x+5)
Let's take (6x+5) to be represented by U
The differential of a function ln(u) = U'/U
In this case, we find differential of (6x+5) which is 6
Then we divide by the part we called U which is 6x+5
So it is 6/(6x+5)
🤔
6x²/2+5x simple
@@blackscorpio3514where to did you get that x squared value
@blackscorpio3514 where tf did you get that x squared term
Differentiation is literally so fucking easy, you just have to follow one rule and nothing can be made complicated just lengthy
❤❤❤
You have really good handwriting.
As a 10th class student, applying this formula feels completely senseless,
Do you really thing 2³ = (2²)3🤔🤔
👍
Habibi try Rd Sharma
Next part please huhu
I have never seen someone writes x like that
Algebra is harder than this lol
U think algebra is a nightmare bro Calculus is king of math monsters trust me Exams are everybody worst fear to a nuclear war..
Abstract algebra is difficult but every time you extended an advanced algebra concept to Calculus, it is always more difficult but you go from maintaining one abstraction to maintaining multiple abstractions
Try the questions with ln and square root
Ez because it is only one, while we solve different problema
i like how she wrote “x” :D
Only finding the derivatives of elementary functions and its combinations is easy
this is just a simple little trick for starters.
Ok, then solve integrals and tell me it's easy
I am in class 8 but i learned whole differentiation
Won't work for more complicated functions, e.g. y = Cos(ln(2x +7)).
Also its a trick the derivation is different and complecated
Okay, now prove "WHY ?"
Come to India and Bangladesh and try to solve our prblems
Which app you using
First time here?
okay now try logarithmic exponential trig functions
😢😢😢
Is it general power rule?
Class 11 ncert basic example
mee with jee competition😂
Yeah easy try solving jee questions
Jee Advance: Tera to band bajana padega💀💀
Can anyone explain (2X+3) = 2 ?????
chain rule is easy
Yeah now replace 3 by 3x and this time instead of taking derivative why don't we take anti-derivative
evaluate the limit x approaches to zero (9^x-5^x)/x
Just factor out an x from the numerator and then plug in 0 to get 0
Oh I read that wrong. I see it's 9 and 5 to x power
Well that's easy. You get ln(9/5) or if you want to be fancy you can write that as -ln(5/9)
Saying its easy when you work at a MC Donalds
∫x^3+5x²-4/x².dx try this 😅
This is general power rule
No it's hard
Calculus 1 is pretty easy. Calculus 2 is where you get your feet wet.
Next chapter AOD 😵
Where is the rest???🙄😳
Okay no do it for nth derivative
That’s only the start 😭
D na po ba I simplify yung sagot?
chain rule is literally the easiest part of calculus 😭 i hate maxima and minima with all my life
Honestly, don't simplify the answer at the end. Leave it as 3(2x+3)^2 * 2. It's easier for the grader to see that you correctly did chain rule AND it's less work on your end.
Well you couldnt even explain that "easy" exqmple correctly. You dont multiply it by the differential of whats in the bracket , you multiply it by the derivative of whats in the bracket.
That's not even 2% of whole calculus out there
u mean 0.0002%
Calculus is easy in terms of calculation but HELL in terms of conceptual understanding.
Why those things work? What do concepts express?
not until trigo😭
Don't tell me you didn't know that...
Jee aspirants be like 🤣🤣🤣
Why u apply chain rule for this function
cuz expanding it would be kinda take so long
Nah man if u try this chain rule for
y=(x²+1)½
(1/2)*(x^2 +1)*(2x) = x^3 +x
At last how get 2🤨🙏
Double diffrentitation
since differentiation here is done w.r.t to x so value of 2x= 2 and constant value = 0 therefore it is only 2 cuz 2*1 + 0 = 2
This is just the power rule with an expression instead of a term...
It's the combination of the power and chain rules
With the chain rule combined
This is nothing
Integral calculus was not fun 💀
I wanna see a real life no horse shit use for this fiction
This is just a rule of calculus i repeat it is not calculus
She found a derivative of a function f using the rules of Calculus, this is absolutely what Calculus is
Hahaha calculus isn't easy it's just that question is easy... you got a see my test papers they are freaking 100 level above the this...
Not understanding