❖ Lots of Different Derivative Examples! ❖

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25 Fundamental Derivative Examples 🎉
Need a refresher on derivatives or want to practice your Calculus 1 skills? In this video, I solve 25 unique derivative problems covering power functions, polynomials, trigonometric functions, exponential functions, and logarithmic functions. You’ll see how to apply the product rule, quotient rule, and chain rule effectively for different types of functions.
This video is perfect for students looking for a variety of derivative examples to boost their calculus knowledge. Whether you're preparing for an exam or just brushing up on your calculus, these examples will help solidify your understanding.
👉 What you’ll learn:
How to take derivatives of power functions, trig functions, and more.
Applying the product rule, quotient rule, and chain rule to real problems.
Tips for simplifying derivatives, though this video focuses on solving the calculus portion more than the algebra.
⚠
Note: This video does not cover inverse trig functions, hyperbolic functions, or logarithmic differentiation. I also don’t focus on detailed algebraic simplifications, but rather the core calculus concepts.
Watch now to practice and master your derivatives!
Patreon (Help Support My Channel!): www.patreon.co...
#Calculus #Derivatives #MathHelp #ChainRule #ProductRule #QuotientRule #ExponentialFunctions #LogarithmicFunctions #TrigonometricFunctions #MathTutorial #PatrickJMT #MathPractice #CollegeMath #CalculusPractice

Опубликовано:

13 окт 2024

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Комментарии : 522

@lenaglt 10 лет назад

Patrick, you have been a great teacher for me years now. On my masters two years ago for optimization problems etc. and now for my PhD with your calculus, implicit differentiation etc. I would like to thank you. I believe that people who know how to easily explain math to other people have a special place in Paradise. Lena :x

@patrickjmt 10 лет назад

thanks for being so nice :) it has made my friday evening all the better!

@loganblanc3864 9 лет назад

I love you, you are basically my professor. Why am I paying thousands of dollars a year to learn everything on youtube?

@patrickjmt 9 лет назад

+Logan Blanc that's a good question, one that lots of students seem to have.

@juliechandler1443 8 лет назад

+Logan Blanc So true! It's a shame :( The only thing my teacher did for me was introduce me to patrickJMT!

@ndrsg3013 8 лет назад

Some people like patrickJMT likes Maths and spend more time doing it, and I guess he is a quick learner on the field of Mathematics too? Am I right +patrickJMT? On my case I used to be lazy to do maths, and I am still a little bit lazy. I do understand what I am doing once I do it, I guess that my laziness is the only thing to blame, not the teachers, since they give you what to study, and the only person responsible to learn it, is each of us. I wish to be able to make videos too, once I finish my degree, only for the sake of practising it.

@xmj1279 8 лет назад

because you dont pay attention in your class, just like me 😂

@loganblanc3864 8 лет назад

That might have something to do with it xD!

@shikmamalka5396 10 лет назад

Thank you so much!!! I have an AP Calc test tomorrow and you taught me more in this video than the teacher taught me the past 3 weeks!!!!

@2kchallengewith4video 2 года назад

7 years later where are you now?

@gemaries323 10 лет назад

Why aren't you my calculus teacher? You are amazing, thank you so much!!!!!

@hemramachandran5626 9 лет назад

You might have just video taped the formulas and explained the examples, but you have no idea, how much beneficial your work has been for lots of people! Can't thank you enough!

@petersonA95 6 лет назад

This was incredibly helpful. A quick summary combining all of the rules was EXACTLY what I needed and there aren't enough videos like it.

@emmalha 10 лет назад

awesome video! I have a calculus midterm on wednesday and this was a great refresher to basic derivatives. thank you :)

@CarterVlog 9 лет назад

you're a life saver man, and no I don't mean the candy.

@ivangutierrez877 8 лет назад

Lol.

@lillianroark3732 2 года назад

I am currently taking business calculus online, which is a challenge because I've always struggled with math. I was planning on dropping the course, but your videos have helped me truly understand. You have an amazing gift of explaining concepts that seem overwhelming and very hard to grasp. I cannot thank you enough for all the time you've put into making easy-to-follow videos! Thanks again for all the help!

@johnkapu9365 11 лет назад

The fact that you just sat there and did what would be considered tedious homework to help all of us is awesome! Thank you, you're a special kind human.

@christinarodriguez297 4 года назад

AWESOME!! Just boom, boom, boom, back to back problems. Nice & quick 35 minute review on all sorts of derivative problems without stopping for explanations on all the minor algebraic simplification.

@RachelBrennan 9 лет назад

This was perfect, thank you!

@patrickjmt 9 лет назад

+Rachel Brennan You are very welcome!

@juanpablodo12345678 7 лет назад

Rachel Brennan q

@lihuynh7561 9 лет назад

Thank you Patrick. I've been watching your videos for years and they are really helpful. Honestly, your explanations of every math problems are always very clear and can't be more understandable.

@freestate208 7 лет назад

I am back in calculus after not having taken a math class in five years, thank you! You are a life saver, and the best math teacher I ever had.

@Sundoren 10 лет назад

you are truly an hero patrick. a man that make videos just for people and be happy for helping others. youre an amazing guy thank you millions of times. In addition you are very very very good at teaching thats also amazng talent.

@weiming2124 9 лет назад

Your examples couldn't have been any more clearer! my professor has a pure Indian accent so all I hear is gibberish. I sometimes giggle in the middle of class (with other students) just because we know how f@cked up we will be if we had taken a test. Thank you so much for making these examples look like a breeze!

@Peglegkickboxer 11 лет назад

your voice is so relaxing and your explanations are perfect, not too slow, not too fast. These videos are really calming before a big test. Thanks bro!

@Abipolarbear 4 года назад

As a sophomore in HS, these videos always saved me!! Now as a junior I am rewatching these and they are still the best videos ever!!!!!

@colewalker997 3 года назад

This is the best video on calculus I have ever watched, the generation of calc teachers these days are arrogant, they don't know how to simplify everything into steps like you do.

@ness5925 8 лет назад

This video made the difference of whether I pass my calculus test tomorrow or not. Thank you, love your videos so much.

@JessahMaeG 11 лет назад

THANK YOU SO MUCH I DONT NEED MY BOOK ANYMORE HONESTLY I DIRECTLY GO TO YOU VIDEOS AND JUST SEARCH FOR A TOPIC THAT I NEEDED TO STUDY THIS IS SO VERY HELPFUL AND SO UNDERSTANDABLE THANK YOU FOR EXTENDING YOUR HELP

@zacholson4045 7 лет назад

I know you added this video 7 years ago, but this is helping me so much in my college calc class; thank you so much!!!

@TheExiled1ne 10 лет назад

14:45 I can do this all day thanks to you, u are the reason i am gonna ace this test tomorrow... THANK YOU!!!!!!!!!!!!!!!!!!!!!! Everyone should subscribe to this guy...

@dranoell7758 5 лет назад

Did you ace the test?

@DoingStuffWithDiana 13 лет назад

Hello! Thank you so much for helping out on here! I have one question, though: For number 21, why did you not have it to the -1/2 power when you used the chain rule and moved the 1/2 to the front? Thank you!

@JennaGrrrL 9 лет назад

I had a very similar question to #3 on my calculus homework tonight and I have been stuck on it for FOUR HOURS. Thanks to you, I FINALLY understand how to do it and got the question correct! THANK YOU soooooo much!!!! You are a lifesaver (and a grade-saver!!) :) :)

@zahranaseri4759 10 лет назад

Thanks so so much, this video is awesome! warming up with simplest examples to some difficult ones. I really enjoyed it,since i follow your videos, my understanding of math has improved remarkably , really appreciated it.

@ekundawon 10 лет назад

God bless your soul! Half this stuff I was expected to know but wasn't even taught! Thank you so much Patrick!!!!!

@derivativeaday2857 6 лет назад

I like how you explained all of this! If I'm ever stuck in my future problems I'll be sure to refer to the rules you have written so nicely :) Thanks!

@jaxheat5966 10 лет назад

Very good refresher, especially since you just focused on the process and not the algebraic simplification!

@24jonasluv 11 лет назад

Honestly, It's people like you who are helping me survive in Math. I'm a slow learner, and need a lot of reinforcement. So really,, thank you soo much for your time and effort in making these videos. Your work is highly appreciated. :)

@patrickjmt 13 лет назад

@americansmark happy that i could help. welcome back to the world of math!

@shannonchambers5458 8 лет назад

Your videos are incredibly clear. You definitely explain the material really well. But I am having a difficult time hearing the video. I've turned the volume on the the video and pc all the way up. I've even hooked it up to the tv to see if I could hear it better. I hope I'm not the only one having this problem?

@johnvirpangli3224 8 лет назад

Get audi eq from the chrome web store. Turn preamp all the way up and the next 3 lines about 3/4 way up. Loud and clear :)

@aasthasherchan840 8 лет назад

use an earphone

@HughMongousPC 7 лет назад

Hahahahah

@frankcamilleboscan177 8 лет назад

You are a brilliant man. Thank you for your videos.

@americansmark 13 лет назад

Thanks so much man. Retaking Calculus A after 4 years away from it and have been studying with your videos alongside my notes all week. I'm confident I'm going to ace it now. Much appreciation.

@fabiananthony7119 9 лет назад

This guy has always been my saving grace Lol.

@logan8374 7 лет назад

This is EXACTLY what I was looking for! Thank you Patrick!!

@wavyks2159 5 лет назад

The best calc professor on RU-vid. 😭🤘🏽 you make it so easy to understand! Love the straightforwardness!

@kickthemoon3905 10 лет назад

You're awesome but that microphone hurts me...

@Soulless64 11 лет назад

My teacher never showed us the pattern of moving "inside" the equation, like # 11. Super helpful, this pattern makes 100 percent sense now

@nuwank3857 9 лет назад

This is a wonderful way to refresh my memory on calculus! Thank you!

@patrickjmt 13 лет назад

@odinheim ha, very welcome

@LOSURFNDANCE 9 лет назад

your breakdown is so precise! thank you very much

@nasketballer48 9 лет назад

Who needs notes when you have Patrick?! Thank you so much!

@JordanForeman 12 лет назад

thanks for the vid! It was a great refresher after a year and a half since taking calculus!

@jetswhiteout961 10 лет назад

Got a calc midterm in 2 days, and your videos have been very helpful. Keep it up!

@ahmedonian 7 лет назад

There is a special place in heaven for good math teachers on youtube Thanks

@HerreCutt 11 лет назад

Even without audio I managed to learn. Your visual teaching is good enough all on its own!

@agdesign7514 4 года назад

I have a HUGE example for homework: y'=1/3tan x+1/3-x + ln(x^2+x+1) - square root of 2x-1

@pt_tim3476 11 лет назад

Thanks Patrick, I found your videos very helpful in preparing for my test. After watching all the videos involving the rules, I was able to do almost every problem correctly by pausing the video and had you to verify the answer. Thanks a ton buddy!!!!

@j357rise5 8 лет назад

Thanks alot man I've been watching ur videos alot during engineering exams and you have helped me alot

@FatalP3rfection 13 лет назад

I don't see how anyone can pass calculus without the use of these videos.

@jasonstrickland9245 9 лет назад

The videos are great, easy to follow along and understand! I have one question, I'm working on teaching myself calculus, what i wanted to know is, where is all this found? (product rule, chain rule....etc) Will buying a calculus textbook explain and break it down?

@michaelguzman8865 6 лет назад

Patrick is so cold at derivatives, I can watch him pop off on math problems for hours. You know how Pat do.

@patrickjmt 6 лет назад

word

@VIBHORTRIPATHI111 9 лет назад

patrick u r superb man!!! you dont know how much u had helped me.... thank u so much.... nd love ur teaching technique which covers almost all of the derivatives forms......

@Tony-nl6pf 5 лет назад

When I took online Calculus I was expecting my teacher to have videos like this.... nope. She just assigns work. Thank you for uploading.

@samanpaydar4415 5 лет назад

In one word you are best teacher...I haven't learn like this before but you taught me...💕✔❤

@cutiecat193 5 лет назад

Such a great video, it is very helpful, I hope you won't stop helping students especially in Calculus subjects.

@taperi5 9 лет назад

1:25 I got 25 problems but math ain't one. Thank you Patrick!

@skillerbg 10 лет назад

He got 25 problems and my ain't one...

@justinbeaubien4298 9 лет назад

thank you! I learn way more from you than my professor I wish my tuition went to you instead lol

@BARAKSAT 9 лет назад

i'm from saudi arabia you saved my life like 1000^1000 times thank you man, the world needs you more than obama

@patrickjmt 12 лет назад

good luck in your class!

@karstenk9467 4 года назад

The title of this video just read my mind for what I needed

@frostpistol 9 лет назад

I have playlist which called Gold playlist , this is one of the best golden videos of Patrick, i learned a lot during my studies of ur videos, and you have been my great teacher during days and nights and even midnights :) Thanks

@maninder985 8 лет назад

really helpful. this made me revised everything needed from this topic for exams. nice work.

@ericyan5084 11 лет назад

No, the inner function is sin(x), and the outer function is x^2. According to chain rule, you have to multiply 2/sin(x) by the derivative of the inner function(sin(x)) which is cos(x).

@muhammadbello6849 2 года назад

the best lecture i understood so far on RU-vid

@tafadzwamamvura1967 10 лет назад

thank you Patrick, you are my best Derivative teacher, i am proud of you

@christinarodriguez297 4 года назад

Just noticed that this video was made 10 years ago!! OMG. Calculus will always be relevant. 👍👍👍

@shanemaridoble7849 7 лет назад

It was perfect but when the moment i write it on my paper your hand blocks it all 😂 btw thanks man!

@cleomanloloyo1950 8 лет назад

just want you to know your videos are so much appreciated. patrick the God

@chato00 3 года назад

Thank you so much sir.U helped a lot with these questions.Thanks to you I past my calculus exam which had hard questions.God bless you

@bope5706 4 года назад

Haha I couldn't figure out how exactly to apply the rules etc, this video is a life saver. I spent 2+ hours looking for how to do this and this video helped me in 4 minutes. Cheers!

@patrickjmt 4 года назад

You're welcome!

@masterkurintisyan1995 10 лет назад

Thanks men. It gives me more idea for derivation. Now Im studying integral calculus hope u can make new videos.

@aneelarzq8280 8 лет назад

that was actually really helping..(y) I really like the way u explain everything and make them so much easy to understand for our lil brains :D Thanx a bunch

@zuhairzafar1649 3 года назад

Thank you so much! It really helped me review derivatives.

@vishwajeetkumarsingh2542 3 года назад

Thanks for the video bro , u still rocks

@wapelozaphaniah7744 7 лет назад

wow this is a very nice revison am writing maths on Wednesday and through this am going to nail it thanks

@odinheim 13 лет назад

you are our math hero here thank you so much from all your youtube fans

@efilata7854 7 лет назад

You are my best calculus teacher. Thank u soooooooo much!!!

@sainisp42 6 лет назад

Well i was looking for some extreme questions on Differentiation but wasnt able to find any, Glad this one was present on RU-vid...You saved my ASS!

@JohnnyDefh 9 лет назад

patrickJMT Hey thanks man! This video has helped me get through my derivative problems especially when to use chain rule and the natural logarithm process. This will certainly help me in my midterm exams today! Thanks again! Subscribed and liked your video!

@peyo001 14 лет назад

Wow first year higher mathematics exam in two weeks. Your timing couldn't be better!

@KIMFILION 11 лет назад

Thank you Patrick, this helped me for my exam tomorrow. You ROCK

@juanandressalvador2811 9 лет назад

My exam is tomorrow, it really helped me to review. Thanks Patrick!

@johnrperry5897 6 лет назад

I loved the random ghost attacks throughout the video haha

@nkhanhle8968 10 лет назад

Thank you so much Patrick !!!!! I learned a lot from you !

@sarac9652 7 лет назад

Saved before the midterm, thank you!

@yoyoyo7424 10 лет назад

This might seem like a stupid question, but how do you know when you're done with the problem completely? Or for a better way of putting it, how do you know when it's fully simplified to it's derivative?

@omarkhattab2402 6 лет назад

reestronaut rip 3 years no answer. R u alive

@priyamenon4373 8 лет назад

Currently prepping for the FE exam. This was a great review!

@harmonyofnature4747 7 лет назад

This video was exactly what I needed! Thank you 🙇‍♀️

@ryanschmidt4299 6 лет назад

Patrick do you still teach at ACC? I will be taking calc 3 and dif. equations next semester and I've learned everything I know from you up this point.

@Ahmed-hd4lr 2 года назад

i feel like derivatives is one of the most fun math subjects i’ve learned

@KimberlyWwww 11 лет назад

extremely helpful -- you covered all the points I needed to review for my test. Definitely watching you as I move along in Calculus. Keep up the good work & thanks :o)