DERIVATIVES that keep getting HARDER 🤯 | jensenmath.ca
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- Опубликовано: 7 авг 2024
- Welcome back to JensenMath! Get ready to flex your calculus muscles in this exhilarating journey through derivative calculations. In this video, we're starting off with the basics and gradually ramping up the difficulty until we're tackling some seriously challenging derivatives that will put your calculus skills to the test!
We'll begin with familiar territory, exploring derivatives using the power rule and simple differentiation techniques. But don't get too comfortable - as we progress, we'll delve into more advanced topics such as implicit differentiation and derivatives of hyperbolic trigonometric functions.
Follow along as we tackle 11 derivative calculations, each one more complex than the last. Whether you're a calculus whiz or just dipping your toes into the world of derivatives, there's something here for everyone to learn and enjoy.
But here's the twist - I encourage you to pause the video and attempt each derivative calculation on your own before I reveal the solution. Leave a comment below letting me know how far you got and which derivatives you found particularly challenging. I'm always excited to hear about your progress and experiences!
Don't forget to visit my website at jensenmath.ca for additional resources and to stay updated on upcoming videos. And if you find this video helpful or enjoyable, be sure to like, share, and subscribe for more math tutorials and challenges. Let's continue exploring the fascinating world of calculus together!
0:00 level 1
0:49 level 2
2:14 level 3
3:25 level 4
5:00 level 5
7:03 level 6
8:38 level 7
10:50 level 8
12:26 level 9
15:46 level 10
18:18 level 11
#Calculus #Derivatives #JensenMath
Derivatives: 😮 Integration: 😢🔫
Being a student preparing for class 12's boards,all 11 were pretty good except for the hyperbolic sin,as it isn't in our curriculum I didn't know what it meant.Would love to see an integration vid!
hyperbolic trig usually is forgotten in general
@@microscopicallysmall what are those? I mean I can solve calculus questions related to it but don't know what exactly are the hyperbolic functions. Is it related to hyperbolas or something?
I learnt calculus by myself from internet and I was able to do level1-9 without help 😄
Same here! Self learning is underrated
I too just learnt the basic rules only in 11th and did all with ease, after 10 it was kinda tough
same
Same. Congrats on level 9
Ca rend tellement bien avec j lo ce genre de video j’adore!!
very fun video, i love calculus 1 so much!! 😅
Please keep uploading more videos like thiss!!
Even thought I haven't taken calculus yet, I was able figure out the first one.
I did all of them! quite proud ngl
Oh yeah sure, you just leave 5 like that, and here I am doing these on my own actually multiplying all of that out
You have a stupid comment. *Of course* the answer would be left as the host left it. It is *not* supposed to be multiplied out. That would undo the work of factoring to get to that point. You should delete your comment.
Love these videos, I learned while being challenged at the same time
Thank you for providing more amazing content!
Please Make this into a series 🙏
Yup
Was flawless through 9 and then made an arithmetic error on 10 that made me want to jump through the window. 11 was a fun one to play around with. Nice man
Because sec²(x) is always positive, if you divide it by abs(sec(x)), you should just get back abs(sec(x)), right? (In regards to level 11, which the only reason i wasnt able to complete is becayse hyperbolic trig functions were dropped from my calc I class)
yes
Integral next!
Yes please !
As a student in my final year of HS with weak maths i finally understood how to solve derivatives after watching this lmao. Thanks man, maybe i'll decide to study CS at my uni instead of bioinformatics after all.
14:35 One small issue. You ignored that the argument of the natural log has absolute value.
In the end, it doesn't matter since the absolute value cancels out with a bit more process. But please don't skip that
Yes, I noticed the same thing and I was confused. Thank you for pointing out!
Exactly, because absolute value has its own differentiation rule as well, so itf the problem were to be different he couldve been wrong
bro called us poor in many ways
In lv 10, since you have d/dx, isn't 1/y just a constant in ln and y³ a constant in the power?
y is a function of x so no
no y is a function of x and hence cannot be treated as a constant
It depends. If y is a function of x, we will need dy/dx and to not treat it as a constant (as y depends on x). In that one in the video, we have the situation with y being a function of x. In other situations, y may be its own variable. If we have that case, it would be constant when differentiating with respect to x.
That would be true if this was a partial derivative but since it’s a “regular” derivative (denoted by the lowercase “d” instead of the “curvy d”) y is considered a function of x.
At 23:00, can’t de rewrite the second term as |secx| ?
I was thinking the exact same thing, actually
watching without knowing the D of derivatives
I only know math up to algebra 1 and some geometry, I am going to class 7
Everything was easy upto level 8. Solved all of them in my head
Level 9 is interesting and I'll try to solve it when I get home (Yes, I didn't watch the solution).
i am in 11th grade and was able to do all of the level pretty easily
11 que is really difficult for me 😅
GCSE student here, I got 1 correct!
I made it up to level 9
I’m on year 8 and i know just a bit of derivatives.. i made it until the second one, hehe
Isn't arsinh(x) not arcsinh(x)?🤔
it is arsinh (area sinus hyperbolicus)
and arcsin is (arcus sinus)
quick little Latin lesson
Why do you say cos like that
Thanks very much. I am in the middle school and this helps a lot (english is not my first language sorry)
How tf do you have calculus in middle school?
@@Anonymous69.there’s a freshman I know who came to hs already haven finished calc1/2
nah you don't have that shit in middle school I'm in middle school too
i have no idea how to do a derivative, i thought it was 6 for the first one
Level 10 notation is wrong. You want dy/dx given the implicit equation.
For the ninth one, for 1/2secx.tanx, I converted both in terms of sin and cos so i got sinx/2cos^2x. This can be wrtitten as sinx/cos2x+1 . Then i used u/v rule and solved but got diff ans.. Is my approach correct?
You are missing needed grouping symbols: sin(x)/[2cos^2(x)], sin(x)/[cos(2x) + 1]
I probably can't go further than level 8
Dériver est une corvée, intégrer est un art.
If you're gonna do derivatives then you *have* to do integrals
Hey hey i thought the quotient rule was low d high - high d low all over low squared smh
idk bruv i skipped to lvl 11 and found it kind easy? 😅
don't you have to respect the absolute value in level 9?
As a IIT aspirant I can say that these are not that difficult
10 was easy
Ez
The first 8 derivative problems were pretty easy and I could have done them in high school. Level 9-11 were medium in difficulty and would be College level Calculus 1 or AP Calculus AB exam problems.
Chain rule spam
Derivatives are easy but integrations 😢
I'm proud of my pure 0