In class - diffrenciate (5x⁴+1)²😄🥰(In my mind - i think i am getting better in maths😏😏) In exam - if xloge(logex) - x²+y² = 4 (y>0) then dy/dx at x=e is equal to ??(wtf.....)🤯🤬🤧
It's -72 units/sec first you have to differentiate equation of curve with respect to x , Then you can simply get the slope and after that you can differentiate that eqn of slope with respect to time because we have to find how fast slope of the curve is changing. 😅 I hape it's right!
y=(5x^4+1)^2 (Given) Granted, you can use the Chain Rule, here, but since the exponent on the (5x^4+1) is just 2, frankly, I'd just multiply it out, first, before taking the derivative. (5x^4+1)^2 =(5x^4)^2+2*(5x^4)*(1)+(1)^2 =25x^8+10x^4+1 y=25x^8+10x^4+1 (Re-written) Now we can just take the derivative term-by-term (The first two terms can be differentiated by using the Power Rule, since we have variables raised to real-numbered powers, and then the last term is a constant, so its derivative is just zero (0)). (dy/dx)=25*(8x^7)+10*(4x^3)+0 =200x^7+40x^3 GG.
@@digaddog6099 look yes +C is 0 so it wouldn’t change anything to integrals it could be the same with a derivative but some rule is where +C is only used for integrals but not derivatives
Thanks I applied the chain rule to my literature essay and got full marks 🎉
how
Lol
GOAT
In class - diffrenciate (5x⁴+1)²😄🥰(In my mind - i think i am getting better in maths😏😏)
In exam - if xloge(logex) - x²+y² = 4 (y>0) then dy/dx at x=e is equal to ??(wtf.....)🤯🤬🤧
I had a homework question the other day that was differentiate 2log(3xsin^2(5x^2-9x))
double chain + product took me out
For the given curve: y = 5x - 2x3, when x increases at the rate of 2 units/sec, then how fast is the slope of curve changes when x = 3?
Solve please 😢
It's -72 units/sec first you have to differentiate equation of curve with respect to x , Then you can simply get the slope and after that you can differentiate that eqn of slope with respect to time because we have to find how fast slope of the curve is changing. 😅 I hape it's right!
In case you don't know I have done dy/dx it's just to obtain slope (m)
@@jeremytowns9922yeah thats some normal calculus shi🤣not for the weak im strugglin myself
Sir plz make more videos on chain rules and other equation
Bro what?
School hacks? Just use the chain rule? Now find the length of a hyperbolic function using that
You can't even do that 😂
My god!!! Such a life saver this is😭😭😭😭👌🏼
Thank you you saved me
Video on integration by substitution 11th grade
This is the most basic derivative. Looks like nothing you’ll be tested on.
Obv, this is only to introduce it.
y=(5x^4+1)^2 (Given)
Granted, you can use the Chain Rule, here, but since the exponent on the (5x^4+1) is just 2, frankly, I'd just multiply it out, first, before taking the derivative.
(5x^4+1)^2
=(5x^4)^2+2*(5x^4)*(1)+(1)^2
=25x^8+10x^4+1
y=25x^8+10x^4+1 (Re-written)
Now we can just take the derivative term-by-term (The first two terms can be differentiated by using the Power Rule, since we have variables raised to real-numbered powers, and then the last term is a constant, so its derivative is just zero (0)).
(dy/dx)=25*(8x^7)+10*(4x^3)+0
=200x^7+40x^3
GG.
👍👍
this an easy derivative where the rational functions with radicals lol
Dawg next year imma get this shit?
How is this a hack it’s literally the first thing they teach you after elementary derivatives
Can we solve it by expanding?
Yes, definitely but this is just faster and also results in the answer being in factored form vs standard form
I did it by expanding and got a different answer
Wouldn't it be dy/dx 2(5x^4 +1)1 x(20x^3)
Yes, but you can multiply 20x^3 *2 to get the leading 40
@@gnitsaf ok ty for explaining
Generalised Power Function Rule?
was that a deer in the background?
Now I’m in 7th grade. Though I doubt it will take me long to understand because I’m doing trig ratios in year 7
We all do that bro😐 it's already been happened everytime in my class lol
Bro chose the easiest example
Now integrate to solve for y🐢
I never learn this in 🏫 neither of my teachers never taught me this in my life. I want to learn I want my GED 🎓 I want to experience college
💀 its just an easy example try it ln(-sin)(5x^2))
10x•cot(5x²)
That ones also pretty easy
+C +C+C
“Tell me you failed Calculus 1 without telling me you failed calculus 1”
@@BahamutCat_Lover33 jokes on you man. The c+ I got in high school was enough to transfer to college credits
@@giantsdudeful they failed you or it is a different rule in your country. If your country is America. Then they failed you.
@@BahamutCat_Lover33no? Cs can count as a passing grade
@@digaddog6099 look yes +C is 0 so it wouldn’t change anything to integrals it could be the same with a derivative but some rule is where +C is only used for integrals but not derivatives
can i ask why y turns into dy/dx?
just a fancy way of saying y'
😂😂. Make more videos soon. But fuck calculus ... do Calculus 2 . I remember the chain rule.
💀💀
Too fast talking to fast
Ayo bro I'm in 5th
Atleast you can use this in 12th if you can remember it
Bro speaking to fast . Dont trust him