I just finished calculus 3, and yeah, what you learn in calculus 1 become very easy after go through enough pain, suffering and doubt. Don't give up people, im really not that smart and managed to survive
I love that you have to make it to calc 3 to figure out where the volume eq for a sphere comes from. Felt satisfying doing a triple integral for a unit sphere.
They have to teach you all different types of calculus just till u get a phd when they tell you how to create your own math and then realize all math is made up
*Formulae:* 1). If f(x) = xⁿ then f¹(x) = nxⁿ⁻¹ 2). If f(x) = x then f¹(x) = 1 3). If f(x) = k then f¹(x) = 0 where k is a constant If f(x) = 4x³ + 2x - 1 then f¹(x) = 4 * 3x² + 2 * 1 - 0 = 12x² + 2
I tried to calculate the anti derivative 💀 using power rule, realized my mistake 3 seconds in and solved it this also my sound weird but I’m in 8th grade
Answer choices A and B can be eliminated because the derivative of the first term of f(x), 4x^3, is 12x^2 by the Power Rule. Since only answer choice C has 12x^2 for the first term of f’(x), C is the final answer. This is basically easy-level calculus. Things get more complicated as you go on.
I just took psats and haven’t gotten to calc yet, a question was similar on here, glad to know that this is simple and now I know for the future. Thanks man 👊 and keep the good work. These are really simple and helpful.
To calculate the derivative \( f'(x) \) of the function \( f(x) = 4x^3 + 2x - 1 \), we'll apply the basic rules of differentiation. Specifically, we will use the power rule and the constant rule. 1. **Differentiate \(4x^3\):** The power rule states that if \( f(x) = x^n \), then \( f'(x) = nx^{n-1} \). For \( 4x^3 \): \[ \frac{d}{dx}(4x^3) = 4 \cdot \frac{d}{dx}(x^3) = 4 \cdot 3x^{3-1} = 12x^2 \] 2. **Differentiate \(2x\):** Again, using the power rule: \[ \frac{d}{dx}(2x) = 2 \cdot \frac{d}{dx}(x) = 2 \cdot 1 = 2 \] 3. **Differentiate \(-1\):** The constant rule states that the derivative of a constant is zero: \[ \frac{d}{dx}(-1) = 0 \] Now, combine the results of each term: \[ f'(x) = 12x^2 + 2 + 0 \] Therefore, the derivative \( f'(x) \) of the function \( f(x) = 4x^3 + 2x - 1 \) is: \[ f'(x) = 12x^2 + 2 \]
Yes now calculate the Gradient of the Potential energy Function to Find the Work done when an Object traverses in a Black Hole Under Conservative and Non Conservative forces. And assume the Non Conservative forces are Air Friction and have minimalist effect on the Internal Potential Energy. U = 3XY/(X+Y) x arctan(cos³x^y)
This is calculus? I’m taking this rn in my college algebra class. The last time I took algebra was over 5 years ago and never seen these before… makes sense now. But don’t know why they would put calculus in an introductory algebra course 🥹
Still how many Indians won a Nobel prize? Using with their education system, few right. Cracking the "hardest exam" doesn't mean something you could discover something new. India's education still lacks than Western one.
@@user-sk3nf2vv4p so this Q is from the western style?💀...not arguing but straight up stating facts..it's mostly the indians that's smart...india just don't have the appropriate equipment..that's why most of the indians travel abroad which at the end..the effort provided by Indians makes it up for that specific country..so at the end it's that country which is benefited by the person's education
I don’t wanna brag but this differentiation question is basic level math. I learnt this a year ago and I’m 15. If u Americans are struggling with this then imagine what hard math is like for me…
@@user-sk3nf2vv4p If We check history, We invented Aeroplane, gave theory on Multiverses. Showed that the Universe existed very long time before Earth was made. had ancient theories which proved that The Universe will cease to exist and new universe will born and the cycle will continue towards the end of space time. Your American NASA has Statue of Shiva in it. The Scientists in NASA testify that the Indians were the first to prove that the Multiverses exist and it is an infinite loop, of birth and death of universes. Now you say....
Take me back to algebra 😭😭😭
Lmao good luck with college math classes 💀
@@Salza02multiplying and subtracting oh GOD 😪😫
This is basic 💀
@@Salza02 not just math also PHYSICS
More calc please! I could use the review🙌
agreed
I just finished calculus 3, and yeah, what you learn in calculus 1 become very easy after go through enough pain, suffering and doubt. Don't give up people, im really not that smart and managed to survive
I love that you have to make it to calc 3 to figure out where the volume eq for a sphere comes from. Felt satisfying doing a triple integral for a unit sphere.
@@sethcamargo1928
I've only made it to the area of a circle. But I'm starting to learn :)
What references are you using? please kindly share
I assume you also work hard as fuck
They have to teach you all different types of calculus just till u get a phd when they tell you how to create your own math and then realize all math is made up
*Formulae:*
1). If f(x) = xⁿ then f¹(x) = nxⁿ⁻¹
2). If f(x) = x then f¹(x) = 1
3). If f(x) = k then f¹(x) = 0 where k is a constant
If f(x) = 4x³ + 2x - 1 then
f¹(x) = 4 * 3x² + 2 * 1 - 0
= 12x² + 2
But how were these formulae found?
@@wasordx3245 why don't you google, the OP probably doesn't know
@@neutronzz3543 Google ain't helpin gonna ask the GPT
@@wasordx3245jeremy klassen
Both 2 and 3 follow from 1 and are pointless to write
Hardest American calculus course:
You after posting this comment: 🤓
All calculus 1 courses start with these things. It even says "First time doing calculus." Wtf is wrong with you? Oh, nevermind. You're the ceo of "🤓"
@@WomenCallYouMoid bro got worked up by a joke
@@WomenCallYouMoid bro got worked up by a joke
Buddy the caption says "Intro to Calculus." Do you expect him to be doing Taylor series or some shit?
Very easy question bring some harder questions.
You’re the goat bro thanks
this is easy, especially the way you explain it. thank you!
I love derivatives, prob my favourite thing in math
Anti-derivatives would like to integrate you today.
@@maxpopkov1432😂 noice
I love integrals
Meanwhile the 8th Grade Indian Kid:
It says intro to polynomials.
@@gigguko6214basic calculus
Taking derivatives OF polynomials
Not the same thing
I tried to calculate the anti derivative 💀 using power rule, realized my mistake 3 seconds in and solved it this also my sound weird but I’m in 8th grade
I get the joke but for all foreigners calculus is only taught in class 11 & 12.
@@zerohzSame in India as well
Got main maths exam tomorrow😂
I know the answer very well its pretty easy, but man, take me back to algebra its so much fun
Thank you for this explanation. Been struggling to understand this.
👌👌 nice
As a Egyptian grade 8th student this is a piece of cake
Good ☺️
Why am I getting recommended this, I'm in algebra 1 💀
It preparing you for the future.
I'm in abstract algebra lmao
It's not algebra imao
Because it’s easy
Which grade in America are you?💀
I used to miss this problem a lot but now I completely understand the break down.
Great vid!
Wow very interesting!
I've never heard the word decrement before. I'm going to start using it.
Guess you can say it derives from increment
Thanks a lot for this. It was very helpful
Take me back to algebra
Definitely going with D on this one 💀
There is an easy formular to figure these out in a second. If it was by first principles, it would be more difficult but it's not.
Take me back to algebra is so real 🙏
Thanks sir 🙏💯
Thank you ❤❤❤
I remember the way to do most of these math questions youtube is recommending me but this was not one of them lol
omfg this saved my life i tried figuring out differentiability without learning this beforehand and boy was it confusing
thank you ❤️❤️
Jee advanced toughest question ever💀
I just failed the exam about derivatives and this video shows up 💀
Was it hard? What part did you fail?
Me want to know pls
@@WomenCallYouMoid bruh calculus is not impossible
And derivatives are pretty easy
Me too😢
@@keshavedits38 maybe it wasn’t taught well to them
Just take me back to algebra pls😢
C
Algebra in 6th standerd:-😃. Algebra in 11and 12th:-💀
He wrote the 4 like a 9 and my attention slope dropped.
❤❤
C. Thanks sir 🙏💯
Thank you i really like you 😊
cc thanks sir 🙏💯
D. Take me back to algebra
Answer choices A and B can be eliminated because the derivative of the first term of f(x), 4x^3, is 12x^2 by the Power Rule. Since only answer choice C has 12x^2 for the first term of f’(x), C is the final answer.
This is basically easy-level calculus. Things get more complicated as you go on.
Thanks mannn
after diffe i wish all math was this easy
Bruh you helped me pass the school test 😂THANK YOU ❤😊
Cc thanks sir 🙏💯 ever
Nice
Tq sar
I just took psats and haven’t gotten to calc yet, a question was similar on here, glad to know that this is simple and now I know for the future. Thanks man 👊 and keep the good work. These are really simple and helpful.
How the concept happen...it just like memorise only.
My schools teachers would get embarassed if such questions came in exam.
I started doing calculus at 11 years old and you are helping me a lot so far :D
Okay Mr. Boy genius
@@peterk.2108 thank you
Man, even calc 1 students would find this easy.
Yeah obviously this is like the most basic thing in calc lmao
12x2+2
Like it
This is so ez I did this fn just by reviewing the formula that it matched my ideas with
This is pretty easy
To calculate the derivative \( f'(x) \) of the function \( f(x) = 4x^3 + 2x - 1 \), we'll apply the basic rules of differentiation. Specifically, we will use the power rule and the constant rule.
1. **Differentiate \(4x^3\):**
The power rule states that if \( f(x) = x^n \), then \( f'(x) = nx^{n-1} \).
For \( 4x^3 \):
\[
\frac{d}{dx}(4x^3) = 4 \cdot \frac{d}{dx}(x^3) = 4 \cdot 3x^{3-1} = 12x^2
\]
2. **Differentiate \(2x\):**
Again, using the power rule:
\[
\frac{d}{dx}(2x) = 2 \cdot \frac{d}{dx}(x) = 2 \cdot 1 = 2
\]
3. **Differentiate \(-1\):**
The constant rule states that the derivative of a constant is zero:
\[
\frac{d}{dx}(-1) = 0
\]
Now, combine the results of each term:
\[
f'(x) = 12x^2 + 2 + 0
\]
Therefore, the derivative \( f'(x) \) of the function \( f(x) = 4x^3 + 2x - 1 \) is:
\[
f'(x) = 12x^2 + 2
\]
this is a certified "american school system" moment
I would pick D
Choice D.. Take me back to Algebra. 🤣
Applying the formula in nx power n-1
In one second I knew it was C
Just integrate the options if you are unable to find the derivative 💀
Usually it's easier to do it the other way around. It's very rare that it is easier to integrate than it is to find a derivative.
I did that too
A)f(x)=x^3 /3 +3x
What are you using as a question provider.
*laughs in finding the derivative of trigonometric and logarithmic functions *
this is such an easy question
Only if you have been taught calculus!
Excuse me, what book are the examples taken from?
We learn it in 12th grade in Türkiye 🇹🇷
Im in grade 8th but for being the basic staff calculus doesnt seem that hard
Please take your
time and teach
Answer C power rule differentiation
bro i'm literally studying this in grade 7
And now use epsilon delta definitivion of limit to prove your result
Bro so easy
I got it right before the answer appeared!!! ❤❤❤
the 50 other derivative rules in question
Diss eminem = song about u 🤠✌️❣️
Can it be solved according to the laws of short multiplication? like. (a-b)^=^a^+2ab-b.
Yes or no
Hmm sir why the -1 became +0?
Can you explain it here in the comment?
Nice teaching i understand it under a min thx
What i didn't know that calculus have derivative !!! I take it in 12th grade
take me baaaaaaack
12yo me going straight to D 🗿
Letter choice D for me!
f(x)=x-8x+15
Option (D)
Yes now calculate the Gradient of the Potential energy Function to Find the Work done when an Object traverses in a Black Hole Under Conservative and Non Conservative forces. And assume the Non Conservative forces are Air Friction and have minimalist effect on the Internal Potential Energy.
U = 3XY/(X+Y) x arctan(cos³x^y)
Air friction in a black hole XD
There is no potential function when the force field is non-conservative.
Letter C
12x^3+2
how did i take calculus in university and not remember any of this
I was waiting to the joke
This is calculus? I’m taking this rn in my college algebra class. The last time I took algebra was over 5 years ago and never seen these before… makes sense now. But don’t know why they would put calculus in an introductory algebra course 🥹
In India we do this I 9th grade
Polynome, take me home, to the field I belong
Algebra or geometry
Polynome, take me home
Is this fr on the SAT? 💀.. where r my indian Friends😂
Present sir, how the hell these call these paper close to hard
Still how many Indians won a Nobel prize? Using with their education system, few right. Cracking the "hardest exam" doesn't mean something you could discover something new. India's education still lacks than Western one.
@@user-sk3nf2vv4p so this Q is from the western style?💀...not arguing but straight up stating facts..it's mostly the indians that's smart...india just don't have the appropriate equipment..that's why most of the indians travel abroad which at the end..the effort provided by Indians makes it up for that specific country..so at the end it's that country which is benefited by the person's education
I don’t wanna brag but this differentiation question is basic level math.
I learnt this a year ago and I’m 15.
If u Americans are struggling with this then imagine what hard math is like for me…
@@user-sk3nf2vv4p If We check history, We invented Aeroplane, gave theory on Multiverses. Showed that the Universe existed very long time before Earth was made. had ancient theories which proved that The Universe will cease to exist and new universe will born and the cycle will continue towards the end of space time. Your American NASA has Statue of Shiva in it. The Scientists in NASA testify that the Indians were the first to prove that the Multiverses exist and it is an infinite loop, of birth and death of universes. Now you say....
I choose D
Have he choose B?
im jus a 5th grader and i'm starting to understand
☠️☠️☠️☠️