If you would like to see another video I did on finding the derivative using the difference quotient click here: ruclips.net/video/x8j-4WYLM6Y/видео.html
Good on you Mario. I have been studying lots of videos about differentiation, and finally with your tutoring, I understand what I was having trouble with. Thank-you. ☺️
Within the first minute, you taught me more than my college level calculus class has ever. I still dont know wtf I am doing. I just know to follow the steps and somehow I get to the correct answer. I had no clue wtf a derivative even was, only told to find it. Thank you for explaining something that a college level course just expects of me.
This is where I learned what a derivative was. Nobody ever explained it to me in one definition well enough. “A derivative is the formula for the slope of the tangent line” “The average rate of change is the secant line between x2 and x1”, which is where limits can come in. This is crazy helpful!
My son does not like to do the dirty work of researching and learning things so for time to time I help him by watching your videos. I must tell you that you are one hell of a teacher. You explain things very easily. Thank you so much.
You did such a good job explaining this. I've seen so many cal students understand how to do the math but have no understanding of the actual concepts behind it.
I had to study how to do derivatives, but it always mostly just memorization and I never understood what was going on under the hood of all those power rules, product rules etc. This is the FIRST time I ever understood where it all came from, like what's the actual math under the hood! Thank you so much for your videos on this topic!
You sir, listen, I didn't even have to watch the whole video, you nailed it very quickly in less than 3 minutes. I was looking for a video I can use to help someone understand derivative, this video ended up helping me much better instead, job well done Sir, in less than 3 minutes. There a bunch of videos here just hitting around the bush and ending up with no real definition of derivative. Thank you
Hey, there. This is a Doctor of Musical Arts who hasn’t taken more than 12 credits of STEM courses in his entire secondary education. I haven’t taken a single math course since an algebra review class in community college in ‘05, and no science courses since an Acoustics for Non-Majors course offered for Music students in ‘09. Of course I used some very basic knowledge of science somewhat in my grad level courses, but my main point is that I’m not especially educated in this area. I’ve never taken Calculus, nor Pre-Cal, nor even Trig. I barely remember high school geometry. This video helped me get a significantly better understanding of the basic mathematical use of derivatives in an abstract sense. Some of the algebra was a bit fast for me, but I understood somewhere between 85 - 90% of what was discussed here. I’m pursuing this because I’ve always had a conceptual interest in physics, especially quantum physics and general relativity. PBS Spacetime and similar channels helped feed my interest, but I felt I lacked any understanding of even the basics of the equations. Channels like this are helping me continue my education in mathematics so I can better enjoy Newtonian, Lagrangian, and Hamiltonian mechanics, so I can better comprehend the reasons why certain quantum phenomena are expressed they way they are by the math, or how the energy needed to accelerate mass to c approaches infinity. Thanks so much for this excellent resource!
Took me till halfway thru the video to understand since I haven't taken pre-calc yet. But this is the only explanation that I could understand on RUclips. Thanks for this wonderful video!
Online class is a struggle for me who has experience this kind of set up for the first time. Thank you so much for this video, sir! It's so clear and precise.
Wow okay thank you. I came to this video because while I could find the derivitive I had no idea of what I was actually finding and needed this information to understand how exactly the math works. Thanks A Ton!
I've been studying this topic for years now but this is the first time that I have genuinely understood the nature of a derivative. Thank u Professor X!
I just spent the last semester in college algebra wondering what the point of all the f(x+h) and fog was. I also wondered for the entire year how exactly you find relative max and minimas of turning points. This video just connected so many dots for me, thank you!
Sir you are Amazing ! you know why you are amazing? because you make thing so simple.. why something is so ... and you explain it so simply.. thanks so much.
Excellent video for understanding the concept, I haven't done it before and watched and learned the entire thing without writing a single number down. That said, there were two sticking points for me. First was that I got lost when you started doing the derivative for x^2 as I had no idea where the input for h was coming from. After doing it you pointed out that h approaching zero means h=0 though. Second was after doing the square root to get +/- 1.15, you stuck it right back into the function equation but didn't say that it was the point we were looking for until later, so I spent awhile trying to understand that too. Overall 10/10 video, maybe that feedback will make a future one 11/10. Thanks a lot.
it's the second video I watched for you, I feel like you've done some magic for me to fully understand the idea, you're really great sir! thanks a lot.
I always learn concepts like these but my professors never actually explain them as a concept, they only talk about the formula and how to use it to solve problems. This makes math really boring because you have no idea what you're actually doing. Learning HOW and WHY stuff works in math makes it 100x more fun.
Best video for Deriviatives available on RUclips. Just a request as well as suggestion Professor: Please write a little larger in size, it will make contents visible efficiently. Otherwise you just nailed it. Loved it.
Thank you very much for posting the helpful videos, and your videos are alway in my consideration of wtching whenever I am stuggling for math problems.
If I were really good with math I would have created a time machine... Then I would have went back in time and got my younger self to meet you and learn math from you and then I would be better at math. Then we would have met as two professors in an alternative time line of our lives and we would have been great friends teaching math to people who don't have a time machine. I also have ADHD so this was what I thought of after watching your video. Thanks!
@@MariosMathTutoring I am confused about sin cos function using π π /2， is that degree or Radian， because I know determineing the minimal or maximum point in sin cos function we should use π/2 to define left side or right side of this function
The increment of the function can also be expressed through the difference of functions, using the factor k-->1: d(f(x))= f(kx)-f(x). Similarly, the increment of the argument: dx=kx-x. Then d(f(x))/dx=lim[k-->1] (f(kx)-f(x))/(kx-x)
They used to teach us in school this way: whenever we tell you the derivative of 5x^2 you answer 10x. Without knowing where it came from, we'd never advance and understand real maths.
@@MariosMathTutoring Can you please make a new category of videos about how to revise maths and how to be more familiar with it? It'll be an awesome gesture from such a great teacher.
This is absolutely amazing! Haha I was impatient and decided to get started even though I won't learn about derivatives until next semester lol it's so fun
4:40 ..."and if we put in zero for h we are left with 2x." You explained this perfectly, so this is not a knock on your presentation. But it does however demonstrate quite clearly the eternal "fly in the ointment" problem with the Newtonian limit; why and how does h miraculously morphs from not being equal to zero to h=0? Or how do we finesse division by zero? The classic presentation (not the final result ) of the difference quotient being used to find the derivative is wrong. h doesn't approach 0 in the limit. h must actually obtain the actual value of zero to form the limit.
If you would like to see another video I did on finding the derivative using the difference quotient click here: ruclips.net/video/x8j-4WYLM6Y/видео.html
This guy reminds me of someone else
@@chessplayer5728 no u
@@lesgolesgo5312 what do you mean?
@@chessplayer5728 nothing
Good on you Mario. I have been studying lots of videos about differentiation, and finally with your tutoring, I understand what I was having trouble with. Thank-you. ☺️
Within the first minute, you taught me more than my college level calculus class has ever. I still dont know wtf I am doing. I just know to follow the steps and somehow I get to the correct answer. I had no clue wtf a derivative even was, only told to find it. Thank you for explaining something that a college level course just expects of me.
facts school likes to over complicate things till the point your brain is overwelmed and just blocks out all new information as useless
This is where I learned what a derivative was. Nobody ever explained it to me in one definition well enough.
“A derivative is the formula for the slope of the tangent line” “The average rate of change is the secant line between x2 and x1”, which is where limits can come in. This is crazy helpful!
My son does not like to do the dirty work of researching and learning things so for time to time I help him by watching your videos. I must tell you that you are one hell of a teacher. You explain things very easily. Thank you so much.
Thanks, Professor X, godspeed.
You did such a good job explaining this. I've seen so many cal students understand how to do the math but have no understanding of the actual concepts behind it.
Glad you liked my explanation of what a derivative is.
This guy reminds me of someone else
@@chessplayer5728 EVERYWHEREEEE
ahahahhhaa
I had to study how to do derivatives, but it always mostly just memorization and I never understood what was going on under the hood of all those power rules, product rules etc.
This is the FIRST time I ever understood where it all came from, like what's the actual math under the hood! Thank you so much for your videos on this topic!
You’re welcome! Glad my video helped you break the code on derivatives!
You sir, listen, I didn't even have to watch the whole video, you nailed it very quickly in less than 3 minutes. I was looking for a video I can use to help someone understand derivative, this video ended up helping me much better instead, job well done Sir, in less than 3 minutes. There a bunch of videos here just hitting around the bush and ending up with no real definition of derivative.
Thank you
You’re welcome mashuli! Glad you liked my straight to the point video about what derivatives are!
This guy reminds me of someone else
@@chessplayer5728 ok y every comment
@@lesgolesgo5312 Broadcasting
@@chessplayer5728 Broadcasting
You explained in eleven minute video what other tutors struggle to explain in one hour videos and still leave students confused. Thanks.
Definitely the best math tutoring channel on Earth!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Hey, there. This is a Doctor of Musical Arts who hasn’t taken more than 12 credits of STEM courses in his entire secondary education. I haven’t taken a single math course since an algebra review class in community college in ‘05, and no science courses since an Acoustics for Non-Majors course offered for Music students in ‘09.
Of course I used some very basic knowledge of science somewhat in my grad level courses, but my main point is that I’m not especially educated in this area. I’ve never taken Calculus, nor Pre-Cal, nor even Trig. I barely remember high school geometry.
This video helped me get a significantly better understanding of the basic mathematical use of derivatives in an abstract sense. Some of the algebra was a bit fast for me, but I understood somewhere between 85 - 90% of what was discussed here.
I’m pursuing this because I’ve always had a conceptual interest in physics, especially quantum physics and general relativity. PBS Spacetime and similar channels helped feed my interest, but I felt I lacked any understanding of even the basics of the equations.
Channels like this are helping me continue my education in mathematics so I can better enjoy Newtonian, Lagrangian, and Hamiltonian mechanics, so I can better comprehend the reasons why certain quantum phenomena are expressed they way they are by the math, or how the energy needed to accelerate mass to c approaches infinity. Thanks so much for this excellent resource!
This is probably the best derivative explanation I have watched. Thank you so much sir.
You’re welcome Wilhelm! Glad you liked my video!
Never thought the sword demon will study the derivatives XDD
I learned more by the discussion about the tangent line than I have in four weeks of daily two hour classes.
Can we just take a minute to respect this guy's amazing ability to legibly write/draw on a whiteboard
You are one of the very mature mathematicians i know. Thank you for your conscientiousness!!!
this is the best video by far i have found on derivatives thank you sir !
You’re welcome! Glad my video helped you understand derivatives better!
I agree
Thanks Kim! Glad you liked the video!
I came here just for a refresher. Ended up having a better understanding than before.
Glad my video helped you Ricky!
After rereading and rereading the textbook and watching multiple videos ive found the one that actually teaches what I need
Glad my video helped you Marc!
Even after purchasing a textbook of my own- Calculus for Dummies, my understanding is less than expected.
I went from being completely lost in calculus to understanding the how and why with just this one little video. Thank you sooooo much!
Just started re learning math and this cleared up many questions I had about derivatives. Thank you for such a clear and concise video.
You’re welcome. Glad my video helped you!
Took me till halfway thru the video to understand since I haven't taken pre-calc yet. But this is the only explanation that I could understand on RUclips. Thanks for this wonderful video!
Online class is a struggle for me who has experience this kind of set up for the first time. Thank you so much for this video, sir! It's so clear and precise.
This guy reminds me of someone else
Concise yet brilliant. You instruct so much more in so little time. Thanks for the refresher.
You're welcome! Glad you found the video helpful.
Wow okay thank you. I came to this video because while I could find the derivitive I had no idea of what I was actually finding and needed this information to understand how exactly the math works. Thanks A Ton!
You’re welcome James!
I had no idea why I was finding derivatives or how they were used, and this made EVERYTHING make sense. Thank you so much for this video explanation!
I'm so glad!
Thank you for this elegant and straightforward explanation
Your English is really perfect Sir! I got what derivative is. Thank you Sir
You’re welcome! Glad my derivative video helped you!
Thank you sir!!. I knew you are a real teacher aside from being a doctor, plumber, a soldier and an astronaut.
Thank you very much, I have an exam tomorrow and this helped me very much. I have finally grabbed the concept of derivative
Thank you! You explained it very well. I understood everything, even as an 8th grader.
Glad it helped!
By far the best video I’ve seen about derivatives. Thank you
Glad you liked the video Callum!
I've been studying this topic for years now but this is the first time that I have genuinely understood the nature of a derivative. Thank u Professor X!
I was so confused until the end. A derivative is basically just a substitution in order to find a specific point like a max or min.
Thanks, I find that understanding the concept behind something makes doing math problems so much more logical. I'm loving my AP calculus class so far!
Thank you so much! Concepts like this beat being shown formulas with no explanation any day.
I just spent the last semester in college algebra wondering what the point of all the f(x+h) and fog was. I also wondered for the entire year how exactly you find relative max and minimas of turning points. This video just connected so many dots for me, thank you!
You’re welcome! Glad it helped!
Sir you are Amazing ! you know why you are amazing? because you make thing so simple.. why something is so ... and you explain it so simply.. thanks so much.
Awesome! Glad you are liking my videos and my channel Zadran!
Excellent video for understanding the concept, I haven't done it before and watched and learned the entire thing without writing a single number down. That said, there were two sticking points for me. First was that I got lost when you started doing the derivative for x^2 as I had no idea where the input for h was coming from. After doing it you pointed out that h approaching zero means h=0 though. Second was after doing the square root to get +/- 1.15, you stuck it right back into the function equation but didn't say that it was the point we were looking for until later, so I spent awhile trying to understand that too.
Overall 10/10 video, maybe that feedback will make a future one 11/10. Thanks a lot.
Derivative was yet to thaught in my class but i was too curious and i wanted to take a step ahead and this little video helped calming me down, thx.
It’s good that you’re curious and taking the initiative to learn ahead of your class.
Best video hands down! You saved me.... mostly in this pandemic. Thanks teacher
it's the second video I watched for you, I feel like you've done some magic for me to fully understand the idea, you're really great sir! thanks a lot.
You’re welcome Basil! Glad my videos have been able to help you!
I always learn concepts like these but my professors never actually explain them as a concept, they only talk about the formula and how to use it to solve problems. This makes math really boring because you have no idea what you're actually doing. Learning HOW and WHY stuff works in math makes it 100x more fun.
I would say that HE has been the best teacher for me so far!! Appreciate you man!
I watched this video so many times, such that each time I watch it, I discover another aspect not previously seen.
Glad you liked the video Norman!
Best video for Deriviatives available on RUclips.
Just a request as well as suggestion Professor: Please write a little larger in size, it will make contents visible efficiently.
Otherwise you just nailed it.
Loved it.
Thanks Ishaan!
This video is really good, now I understand what a derivative is and does
Sir, you are a magician, lots of love, respect and dawah from Bangladesh.
So nice of you!
Thank you so much! I had difficulty understanding derivatives but this video came to the rescue
Glad to see Jhonny Sins back as a teacher. Can't wait for your next class! 🥰️
Ha. I had the same thought.
AWESOME explanation Mr. Mario - Thank you very much !
Thank you very much for posting the helpful videos, and your videos are alway in my consideration of wtching whenever I am stuggling for math problems.
Best english video about derivatives
If I were really good with math I would have created a time machine... Then I would have went back in time and got my younger self to meet you and learn math from you and then I would be better at math. Then we would have met as two professors in an alternative time line of our lives and we would have been great friends teaching math to people who don't have a time machine. I also have ADHD so this was what I thought of after watching your video. Thanks!
Thank you very much sir, your follower from Iraq. Very useful video thanks much.
You’re welcome Ali!
i share your calm with the topic - fantastic style of sharing the knowledge
Perfect - thank you. This is much better than written text books for sure
you are talking so clearly. you are a gift teacher
Glad you like my teaching Jack!
@@MariosMathTutoring I am confused about sin cos function using π π /2， is that degree or Radian， because I know determineing the minimal or maximum point in sin cos function we should use π/2 to define left side or right side of this function
Thank you Mario, for the concise and thorough review!
This video helped me understand why we need to use derivative in ML, Thanks great job
Glad it helped!
The increment of the function can also be expressed through the difference of functions, using the factor k-->1: d(f(x))= f(kx)-f(x). Similarly, the increment of the argument: dx=kx-x.
Then d(f(x))/dx=lim[k-->1] (f(kx)-f(x))/(kx-x)
What a beautiful explanation, I really like what u did with the graph thing, very insightful and very resourceful.
Derivative of x^2 is 2x , same as nx^(n-1), now i know where it came from. Thanks sir mario.
You’re welcome Walter!
They used to teach us in school this way: whenever we tell you the derivative of 5x^2 you answer 10x. Without knowing where it came from, we'd never advance and understand real maths.
Glad my video helped you understand the origin of those shortcuts for finding the derivative!
@@MariosMathTutoring Can you please make a new category of videos about how to revise maths and how to be more familiar with it? It'll be an awesome gesture from such a great teacher.
Currently writing a bullsh*t essay about derivatives and this video helped a lot, thanks Mario!
This video helped me understand derivatives better! Thank you Sir.
Thanks!
Thanks for the SUPER THANKS!!
Thank you very much for the demonstration, I was struggling to figure out what a derivative actually meant before watching this video.
Glad it helped!
your voice is really clear, thank you
You’re welcome! Glad you liked the video!
AWEsome dude. boy. thanks to YOU. i FINALLY got it in Plain English very well explained. thank YOU SO much. !!!!
Glad it helped!
Wow just in a few minutes i can understand how derivatives actually are, thank you so much
You are welcome! Glad I could help!
Thank you man I still have it a little bit hard with derivatives but at least I got the idea you did an wonderful job
Glad to hear that my video helped you get the idea, it can take time to fully understand.
Great video. Love the explanation of why this is useful.
miraculous explanation, can't be more satisfied !
This is truly a mind blowing video, I was struggling with the concept of derivatives but now it all makes sense! Thank you!
You’re welcome! Glad my video helped you!
That's craaazy! Loved that!
Thank you for the explanation! It was clear and coherent
You’re welcome!
This is absolutely amazing! Haha I was impatient and decided to get started even though I won't learn about derivatives until next semester lol it's so fun
I’m glad you’re enjoying learning about derivatives!
@MariosMathTutoring yeah! I love the way you explained it
Thant you for all your videos Mr Marios .It helped me a lot to understand what Derivatives is !!!
You’re welcome! Glad my videos have helped you!
That is too clear to not understand derivatives. Thank You!
Loved it a lot 💕💕
Superb explanation !! thanks
Thank you! It finally makes sense!
You’re welcome Jaret!
Amazing job explaining everything!! Thank you!!
Excellent Video. Great Explanation!
How is it possible that this dude explains it better than my university lecturer
I’ve tutored a lot of students over a lot of years.
why square (x+h) at 4:06???
Really helps me a lot! Thank you!
You’re welcome Shane! Glad my video helped you!
Thank you for the explanation sir! It helped me a lot.
You taught me more in 10 minutes than my professor did today in 2 hours 😳
I LOVE YOUUU SO MUCH, PROFESSORR
I wish you worked at my college :'(
Very nicely explained sir
4:40 ..."and if we put in zero for h we are left with 2x."
You explained this perfectly, so this is not a knock on your presentation. But it does however demonstrate quite clearly the eternal "fly in the ointment" problem with the Newtonian limit; why and how does h miraculously morphs from not being equal to zero to h=0? Or how do we finesse division by zero? The classic presentation (not the final result ) of the difference quotient being used to find the derivative is wrong. h doesn't approach 0 in the limit. h must actually obtain the actual value of zero to form the limit.
Really helpful explanation. Thanks for this, much appreciated.
its absolutely fascinating
Thank you so much for this video.
You’re welcome!
10/10 video, thanks!
Thank you sir,it was wonderful explanation
I might be 4 years too late but what an amazing explanation!
Wow!!! Thank you sir
excellent video! 🏆
Where were in my +1, +2 Sir Superb video...😃
Thanks
Amazing explanation