If you think the derivative of x^2 is too easy, then try this!

[@shikhargautam3907]

5:00 where is that video??

[@bprpcalculusbasics]

Here kzbin.info/www/bejne/pXPPeZyOa9ulh7s

[@amitgamingyt6630]

omg You played well to get heart. 😜😂😅😂😅

[@shikhargautam3907]

@@amitgamingyt6630 yep. I thought it's time to unleash my talent from now on. 😂😂

[@wjrasmussen666]

@@bprpcalculusbasics Thank you!

[@teelo12000]

Okay class, d/dx(x^2) = 2x. Got it? Cool. Now your test: what is d/dx(the meaning of life of (x))?

[@hubb8049]

d/dx(42)=0

[@refnaldiazwirman2490]

= 0, because "the meaning of life" has no x.

[@lordmatthew444]

@@refnaldiazwirman2490 so the meaning of life is nothing then

[@justanotheruser5361]

​@@lordmatthew444 Or, since the derivative of 'the meaning of life' is zero, it means that the meaning of life is a constant, and does not change!

[@gurkiratsingh7tha993]

@@justanotheruser5361 yes, the meaning of life never changes

[@Ahlnie]

Ok, as a student, I really want to know what compels instructors to make the tests harder than the practice problems. I mean, I'd understand the idea of trying to provide opportunities for growth in adaptability, but wouldn't that be better achieved through very frequent quizzes/pop quizzes, rather than on the 2 or 3 exams throughout the class?

[@스머프-s7g]

I dont have an answer, but if I had to say one, it could be to "test" ones knowledge of the subject itself, rather than merely knowing how to solve a problem.

[@vimuth_04]

Ig they can’t have everyone passing the exam..plus it’s a good way to spot the ppl who are extremely good at the subject.

[@circumsizedmind]

@@vimuth_04 but this one is hard because you got a complicated chain and there are simplification tricks to see. Also , of the class has covered only the derivatives of polynomials and now you have to apply a chain rule of nested functions then for sure the exam had nothing to do with the class teaching. At this point you can skip the class

[@vimuth_04]

@@circumsizedmind in my country you can’t ‘skip classes’ so I can’t relate to what you said..our systems are different I guess .

[@circumsizedmind]

@@vimuth_04 what I meant that attending the classes would have very little effect on exam performance. And for calculus level there's no need to enforce lecture attendance since of you lack the motivation and interest you will fall the exams anyway

[@kobethebeefinmathworld953]

Perhaps next time when we need to write "note of note" we can try something like "note^2"

[@RandomGuy-yf4wf]

note(note())

[@rogerkearns8094]

Or the fairly conventional F(G)? (At least in music, after all, F and G are notes.)

[@GirishManjunathMusic]

@@rogerkearns8094 C(E(x)).

[@Firefly256]

note o note

[@GirishManjunathMusic]

@@Firefly256 non(x).

[@averagesoul8256]

the b^x formula is basically the generalized version of e^x because technically d/dx(e^x) = e^x lne ,but lne is 1

[@zhelyo_physics]

I really enjoyed working through this while watching! : )

[@bprpcalculusbasics]

Thanks!!!

[@nekothecat]

7:44 imagine you spend 20 mins doing this and end up getting just 2 points on the test

[@thesuspect2336]

Cool, now integrate the result to check the answer

[@txikitofandango]

Oh no, (x squared) to the (x squared) power, that's only suitable for the practice test haha

[@bprpcalculusbasics]

😆

[@ENTMusic-cj7wt]

The antiderivative of this would be interesting

[@SaurabhKumar-jo6dp]

What's the nth derivative of the second one

[@robertlunderwood]

Is this one of those cases where using the definition of the derivative is easier?

[@hubenbu]

If I follow your Calculus vids and complete all the challenges, can I have the credit?

[@petereziagor4604]

Me on the test: writes the answer and that's all 👍

[@rubenvegas7926]

Now do it using the definition of a derivative 😈

[@Ninja20704]

Logarithmic differentiation would be a little bit cleaner thought almost just as tedious.

[@itsphoenixingtime]

Fair enough but you also need to remember the expression of y when you use implicit diff

[@shadowmist9422]

I have a question , if x=0 then we can't use this formula cause both 1/x and lnx are underfined at x=0 but we know that if x=0 then the function is a constant so the derivative of it should be 0 where we can not . Is it just me or i am thinking too much ?

[@Namchha1]

I did it by natural logging both sides twice.

[@urisinger3412]

why twice

[@Namchha1]

@@urisinger3412 because I didn't want to find the derivative of 2^x^2. Double logging just makes it easier to organise.

[@urisinger3412]

@@Namchha1 the derivative of 2^x^2 is very easy to find just use chain rule to get 2xln(2)2^x^2

[@Thesaddestmomentinourlives]

same, but derivative of 2^x^2 is a piece of cake, so I did it once.

[@mathematician8113]

Then can you make a video and integrate the answer and get x²^x²?

[@threepointone415]

7:36 *challenge accepted*

[@noahhannon2305]

Thank you

[@ashenisuranga2915]

with a little bit of logorithm, the broblem is much easy 😉

[@Bilbobaggiins.0]

again I Failed to view this video firstly but I win to get knowledge from Sir

[@ordinate_6954]

7:21

[@ordinate_6954]

7:22

[@ordinate_6954]

sus

[@PonchoCowboy]

Why the pokeball?

[@federook78]

Love the Chen-du!

[@kinglogic1729]

I would probably use implicit

[@wissendev5490]

Simplifying the answer is harder than finding it...

[@RaviKumar-xe3tw]

I educated from you

[@telotawa]

egg square

[@nguyentinh.121]

Mang Pikachu vào đợt sau

[@blackpker124]

"Slightly" harder... cap

[@PrivatePug]

I would’ve gone crazy if the answer was 2x^2x

[@robertveith6383]

No, you wrote it wrong. There is at least one set of grouping symbols missing.

[@imnotthatugly2215]

老哥数学不错，是中国人嘛

[@kozokosa9289]

Am I the only one who thinks it's better to just derive (f(x))^f(x) and then substitute in x^2 as f(x)?

[@dalek1099]

It's not (x^2)^(x^2) though it is x^(2^(x^2)). You need f(x)^g(x).

[@kozokosa9289]

@@dalek1099 it's the same thing... Edit I was mistaken

[@luisaleman9512]

@@kozokosa9289 no, it isn't

[@kozokosa9289]

@@luisaleman9512 true my bad misread the parenthesis

[@anshumanagrawal346]

@@emma5068 lmao (x^2)^(x^2) is NOT equal to x^(2+x^2), it's equal to x^(2x^2) somebody needs to relearn their rules of exponents 🤭

[@martyknight6349]

I see no value in the instructor showing off. Put problems on the test that are similar to those practiced and discussed.

[@morbidmanatee5550]

Cruel