Derivative Tricks (That Teachers Probably Don't Tell You)

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.

[spelunkerd]

I've had a few cycles where I learned calculus, then forgot it, then learned it again, then forgot, etc. With time, the 'easy tricks' disappear, and the hardwired core of knowledge stays with you. So, if you spend your time memorizing huge numbers of little tricks, expect them to be gone in a year. What really gets you into trouble is partial memory, which has to be perfect if you rely on memorization. Better to understand the fundamentals, following the pattern of classical teaching, and burn those core fundamentals into your long term memory. For example, rather than memorizing all the trig substitutions, learn Euler's formula and derive the one you need with a few pencil strokes. Little tricks make you faster and might help with the time pressure of an exam, but fundamentals will carry you much farther over the long term.

[KingGisInDaHouse]

The last one is neat. The rest is just memorization/mental math.

[energyeve]

I couldn’t tell if you were being sarcastic in the first two lmao.

[thataintme]

Indians be like.... "This ain't a trick. This is the actual method"
lolz

[magicmulder]

“Instead of memorizing one rule, just memorize hundreds of common derivatives. Teachers hate this trick!”

[IvyANguyen]

That last one w/ the logs was amazing! I never would've thought of doing that & I tutor calc 1 every week.

[lazypawtato]

why did I only saw this when I'm already graduated in Engineering ugh

[avinashbabut.n]

Our teacher was nice, she told us the first two and I discovered the 3rd myself. I am so pleased to see the thing just pop in my mind in a YouTube Video.

[xthomas]

The last one is most interestin.. I haven't learned that yet, but it sounds simple enough here.

[jameschua]

With all these hate comments bro I just want to let you know that you have helped me a lot. Andd I also shared this vid to my classmates! Kudos!

[restitutororbis]

Actually the last trick was pretty surprising. I`ve thought of using logarithmic differentiation for variables with exponents when it comes to fractions, and apparently it does work. Thanks!

[bluefrog]

HAHAHA I like how the youtuber just replies "Have an awesome day!" to all the critics he receive. Have an awesome day my man :)

[lj]

Why are these comments full of Indian people bragging about how early they learned this? Don't they realize no one cares?

Thanks for the video

[davidperrii]

Ok hold on 😂 I have taken the derivative of countless square roots and I’m dumbfounded at how I’ve never realized this pattern😂

[MM-eixv]

Wow
The tricks you mentioned are normally taught here in Egypt, including the logarithmic one that everyone is impressed of!

[ronaldrosete]

The last one is called logarithmic differentiation. It is a known technique and is taught in Calculus I. Also, those are not tricks, they're the actual methods.

[itzyryeji]

I’m really proud that our teacher in Pre-Cal and basic calc, taught us these tricks thoo

[mathonthego]

Great tricks. I think that most students who spend enough time doing homework and doing practice problems stumble upon these tricks on their own. For the students struggling with derivatives this could definitely help them get a light bulb moment and hopefully help them spend less time struggling with some of these concepts.

[trialsofkay]

i know that there are a bunch of comments saying that they're disappointed by these tricks, but i found this video extremely helpful. Thank you so much

[davidemacario]

shouldn't you consider [(x+1)^5/(x-3)^1/2]>0, in order for the log to exist?