Check out all my Math Tricks! kzfaq.info/get/bejne/gdldqtqK1bmWYI0.html

It's amazing how much easier in many ways learning math on KZfaq has become. Pretty cool stuff.

I wish I had seen this channel's contents before going to college

The partial derivative theorem for implicit differentiation is GENIUS. WIth this I can save myself ten minutes + on my A level exam. THANK YOU SO MUCH.

Thanks for a paused explanation, and for not stopping at how to do it, but also naming other cases the tricks help too.

I feel I have seen all of these in your previous videos. Good work as always. Even if I do not use these too much I love to show them to students once they understand concepts to bring things together

Pascal's triangle was new to me!! Thanks for the vid 👍👍

This video is so helpful. Your rich content is underrated. I hope your channel gets the recognition it deserves!

This was so helpful... Really, big thanks... I have my math final exam in about a month, and casually sitting back and watching few of my videos actually helped me a lot.

i love your chanel man , i wish i had seen this before my first calc 1 exam

I have liked, commented, added to my favorite videos playlist, and shared this video on discord. I love it, and I love what you are doing, Bri!

please continue to do more videos please you save my life Thank you so much

You're SO helpful!

im already in calc 3 but i just knew most of these now ! very helpful, thank you

I just Screenshot all of this. These are so freakin helpful.

Thank you ,you helped me a lot 😊😊

Thank you so much. I'm hoping to take masters in physics and my math is a bit rusty, you helped so muchhh ♡

You could also use these as integration tricks if you go the other way

the reciprocal rule can be thought of as bringing the power of x to the top by making it negative then using the power rule

Thanks 🙏

The higher order derivative shortcut for the product rule is often taught in mathematical physics courses, which is usually co-listed in mathematics and physics departments and can normally be taken for credit in either department and something both.

You tackle complex problems in the simplest way possible; I love it! Others, llike Micheal Penn and blackpenredpen, race forward, assuming that you are very familiar with and skilled at the content. Of course, Micheal Penn and blackpenredpen are *great*, and I can handle their high speed, but I love how you explain everything!

I don't know if this is something you mentioned, but another way to phrase trick 2: f'(x)/[square of denominator], times the determinant of the coefficient matrix. In the implicit differentiation trick, once the dust settles, f'= -2x(7x+3)/((x-3)^5).

Thanks Bro, you saved my neck in my calculus I exam! :))

In the time it takes to recall these 7 tricks you could just differentiate using the standard techniques. These tricks just add more to what you have to remember. (Except for the implicit differentiation trick, which I've never seen before and which looks useful).

Thanks a lot!! You helped me to get prepared for my exam tomorrow!! You are awesome

Will there be a minus sign in front of the answer in the 16:28 minute's example?

How did you film yourself looking at the board, Brian? I would love to know the trick. It seems like you are writing on camera screen. I love the quality of your video and the content of your videos.

Superb video to be quicker during exams. Thank you :) By the way, the part where we use Pascals Triangle is coming from Leibniz Formula for those who want to understand why this works.

Thanks from Bangladesh.. 😊

I salute you sir for your beautiful and wonderful knowledge 💐💐💐💐💐💐🙏🙏🙏🙏🙏🙏

In 1 st he actually used u / v rule of deferential equations

Love it 😍

Excellent y can use btc?

What will happen if I use the implicit trick on my AP Calc AB MCQ portion where they can't see the work?

18:34 yes history guy will teach :P , Come to India for battle of jee , thousands of students know it :)

I have one question: If d/dx(f(x,y)) = -fx/fy It implies that df/dx is = 0 or not? Because df/dx = fx + fy*dy/dx (df/dx - fx)/fy = dy/dx

Awesome video

Really believe me the triangle was not invented by Pascal for the first time. He called Khyyam, a Persian Mathematician app 250 year before Pascal who invented the triangle as a coefficient in binominal expansion. Anyhow the triangle is called Khayyam-Pascal triangle to honor both.

Does dy/dx = 1/ (dx/dy) hold true for all functions that are differentiable? Or are there some conditions involved when using this trick, such as availability of inverse functions(one to one relationship), etc? Because I've seen many cases where many cool math formulas don't hold true under certain situations ..... For instance, for this trick, what if we apply it to y = x^2 ? This is a simple function, but if we use this formula, I don't know how it will work because if we write it in terms of x, it is no longer a function unless we divide it into two sections ( x = root(y) or x = - root(y)), whic makes it kind of awkward to differenciate.... How do you apply the formula to these kinds of cases? Thus my question would be, does the equation dy/dx = 1/ (dx/dy) actually hold true for all cases such as this, as long as it's differentiable? How would it be possible for functions that are not invertible (like y = x^2 , y = x^3 - 6x , etc...) I would really appreciate your reply.

The ad-bc in the 2nd trick looks suspiciously like the formula for the determinant of a 2x2 matrix, is this just coincidence or is there some link between the 2?

These are really useful but there are some problems I can't get the tricks to work with, like ones that would involve multiple tricks. Do these only apply if you can use one trick? Ex: e^(y)cos(x)=1 + sin(xy) Or perhaps I really just don't know what I'm doing. c: I'm tryin' though!

Thank you Brian, I always learn something when I watch your shows. Only one comment, if I may, try not to pronounce the T in the word often. Excellent channel, thank you!

How can I thank u?

This deserves 1 million views thank you so much

O my god...am gonna subscribe n its gonna be 200K ..oo I waited for this try many times...lalalalala

I love you man 🤞

I'm confused, what were you writing on, and how were you writing backward.

I don't think the quotient rule should be taught as strongly as it is. Application of the chain rule and the power rule is a lot more instructive and less rote than applying a formula for quotients.

I developed all these myself practicing

well that looks like standard way of doing it with extra steps.Don't get me wrong ,these are nice tricks but knowing product rule and power rule with chain rule is very neat rather than knowing a hundred different rule

00:01 - Reciprocal Rule 02:44 - Quotient rule in specific cases 05:24 - Square root functions 08:24 - Implicit functions differentiation 11:40 - Log trick for complex functions with constant powers 15:36 - Higher order derivatives of products 18:47 - Inverse functions trick if we forget

Thank you from Egypt♥️ شكراً لك من مصر ♥️

Please upload some more videos sir 🙏🙏🙏🙏🙏🙏🙏

Thanks a lot!! sir I'm hoping to take masters in maths . like u.............)

what is this hi-tech high technology? or did the guy just wrote the inverted/mirrored form of the equations?

15:36

3:20 DO I SEE A DETERMINANT? Seriously though, is this pointing to some kind of connection with matrices?

Pascals triangle 1 11 11^2 11^3 11^4 . .. .. .

How are you writing im so confused lmao ty for the vid tho

@13

you look like nick jonas , btw , great content

Memorizing is not the way to learn math. It is better to teach the principle of the math.

Derivatives is not that hard but integration sucks me a lot

Not tricks! These are shortcuts at best, learned from years of use. Kind of how we can decompose equations into various forms to more readily extract information from them, and later extrapolate to a general form, like we do reducing the steps to get and then applying the quadratic formula to get the roots.

The root one wasnt a trick it is what sum1 would do

Sir i have a formula of that faster than yours😊

Derivative of 1/x^2 is -2x

are you writing this backwards?

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