Derivative Using the Definition, Example 2

[katymanissa]

I am awful at calculus, and I had my professor, my TA, and finally a tutor try to explain this to me. But I actually get it now. THANK YOU!

[andrewelliott]

Would honestly donate money to support this channel before I donated to my university.

[Numberplus]

@patrickJMT
The amount of knowledge that you provide is admirable and far superior than most professors. It's one thing knowing about the subject like most lecturers, but being able to break it down and explain things like you do is truly what makes an excellent teacher. The videos you make deserve massive credit. Some lecturers just don't have a clue and have lost all interest and motivational which directly has a negative affect on the students. So basically, THANKS FOR BEING AWESOME!

[Ssquatch_]

Been watching all of your videos to study for my exam, this makes math seem like fun, excellent job explaining!

[littlemizzbusy]

I just wanted to tell you thank you for creating this. As a child I struggled with math and majored in communications in college but now I am in graduate school for Engineering. I took basic Algebra more than 8 years ago and I just wanted to tell you that this was incredibly helpful. Keep o the excellent work. They way you explain everything is very detailed and I just finished my homework because of you.

[raghavarora]

Been Learning my school level Algebra with the help of your videos and just wanted to say that you are a life saver. You made Calculus extremely fun for me and your videos clear all my classroom queries.

[NickM-engineering]

Patrick, you have saved my ass so many times I lost track. You are so much better then any professor i have ever had. You actually explain stuff for a change hahah

[XenoKnightAlpha]

I dove here on a whim of curiosity from YouTube Learning, a channel featuring collections of videos seemingly aimed at various topics. That hub was a recommended on my YouTube home, and at least two of your videos were on top or at the front (I'm using using phone)

As far as this video goes, really good stuff here! Felt like I was at school again, but at home and comfy. I highly appreciate this learning. Everything was transparent. Loved the reasoning behind learning this process, and what's next! Definitely glad that formula was shown.

[nicholasthope]

OMG! None of my math teachers ever explained it to me. Thanks a million! :) 

[emalynntobias]

thank you so much my professor never explained how to calculate f(x+h) it now makes so much sense now!!!

[PhilBushay]

I just watched the other vid wondering if there was anything out there with this type of function. Lo and behold this legend has it. 10/10 subscribed.

[Goldbergfan]

@chivistaboy Patrick is right. To add to what he said though, when you have a function f(x, y) and you want to take the partial w.r.t. x, the numerator of the limit would be f(x+deltax, y)-f(x, y). The same idea is used in Vector Calculus as well.

[cxmio]

Patrick you are the MAN!!. thanks for taking your time to make all the videos in your channel. keep it up !!!

[-wheeling]

You are awesome i am from saudi arabia alot of students watch you

[patrickjmt]

@odinheim well, humans like to fight. it does not matter who is in charge - it is our nature.

[kbanchek]

Thank you so much! A lightbulb went off in my head and I finally understand it!! My teacher does not teach us anything...

[ekonarin]

thanx man i have make up exam on thursday, i really appreciate it

[Zenobeus]

Great job explaining, and actually pointing to what you're doing.

[awaizy]

I felt butterflies in my stomach when I realized those h's cancelled out.

[patrickjmt]

@chivistaboy well yes, almost. only a very slight change, but same idea for sure.