@@Muwddy then why are you here if the professor does the explaining "at the level your supposed to comprehend at" and how its "your problem"? what a useless and snarky comment lmao. looks like you cant comprehend what your professor says either
Thank you SO much. My math teacher isn’t bad, but it scares me so much when I have homework that he has yet to explain in how to solve, and this was a real life saver. THANK YOU!!!
This was so helpful! I am taking a pre calculus class right now and our professor introduced this and I was completely lost and scared because he mentioned that this is a foundational concept of calculus, but your video was super informative and crisp! Thanks again!
Ngl I didn’t know at first what this was cause my cousin needed help and I decided to watch this to understand to help her and wow this help a lot. Understood it right away. Thank you
Dude thank you SO MUCH. My class/book made me feel like I needed to drop out of college cause I wasnt smart enough to finish. Then this video helped me understand the unit in less than 5 min. Incredible
I take it, then, that "h" is what is normally "delta x" when showing what we are doing graphically i.e. the point x plus a little bit more so that when we draw a line between the two points we get a slope.
I get the process and all, but if you do the short cut (power rule right?) all you get is 2x+4, i was really wondering how the h^2 disappeared and still wondering how this formula ends up giving you an H. I do remember reading somewhere H was equal to 0 but not sure, only way this would make sense
If you were referring to the part in yellow, he factored out an h from each term. h^2 became h because he factored out an h. But I'm sure you've figured it out after 11 months lmao
This helped me a lot! I was just wondering the same about the final part when he factored out the h, was wondering what happened to the last couple terms w/ h!
@@TheMathSorcerer my teacher just dropped me from the class. On my way to regular college algebra. Half the class got dropped for failing her stupid test. I'll continue to learn the subject on my own. I'll stick around to watch the rest of your videos bro!
you would have to distribute it , so like if it was 2x^2 + 3x + 5 , the beginning would be [2(x + h)^2 + 3(x + h) + 5 - (2x^2 + 3x + 5)]/h , then the 2(x + h)^2 would be 2(x + h)^2 2(x^2 + 2xh + h^2) 2x^2 + 4xh + 2h^2
full solution(it has an extra step at the end since it's a calculus problem), but this is it, ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-qoMoN8a7nkg.html
@@TheMathSorcerer if I could like this more than once I would! Thank you! I have been asking everyone at university this for 7 days! No body can tell me?... and is there a specific name for the actual terms in the difference quotient? The (x-h) part? Specifically?
Wait I’m confused you put +7 instead of -7 when you subtracted f(x) from f(x+h). And if you didn’t make that mistake then would the two minus 7’s cancel or not.
That wasn’t a mistake. He distributed the -1 to the -7 in the brackets. -1 times -7 is positive 7. Also he mentioned how anything that doesn’t have an h SHOULD cancel out.
Neat little fact: this is the derivative of the equation + h! Lots of the time there’s a limit for h->0 thrown on the back end, so the h ends up getting removed, leaving you with simply just the derivative.
