Derivatives - Formula Sheet: bit.ly/4dThzf1 Final Exams and Video Playlists: www.video-tutor.net/ Next Video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-3lUOtjkqfQo.html
Great teachers are not only high degree holders, they anyone who can simplify the most complex stuffs using unambiguous words to a dummy. Well done sir.
I actually dislike this dude’s videos cuz of his voice and the fact that he doesn’t go over complicated problems. Like most of these are easy in this video.
I know, every Calc channel I watch, they have these ads with people saying "YO, WANNA PAY FOR HELP INSTEAD OF WATCHING THIS FREE, COMPREHENSIBLE VIDEO??"
In Kinematics, the Third, Fourth, Fifth and Sixth derivatives have names. They are (seriously): Jerk, Jounce (also called Snap), Crackle and Pop. They are used by mechanical engineers in the design of cam shafts, railroad track curves, pistons, etc. Acceleration is never really instantaneous. Jerk is the time rate of change of acceleration, that is, the small change in inertia when a constant force is initially applied. Jerk is the time rate of change of Jounce. When you are riding in a car under 'constant' acceleration but over a rough surface, the acceleration is not really constant, but rapidly changing, producing Jerk. To get the smoothest ride on a roller coaster, or on a railroad curve, an engineer considers the Jerk and the Jounce. (Or Snap.) As for Crackle and Pop, they are less used, (if at all), but expressions of the reality that much of applied physics is idealized mechanics. I'm answering my own question, posed below:
There is a saying when you have a knowledge and you dont share it with people...the knowledge you have will eventually go down but when you continue to share your knowledge with others definitely it will keep on rising. Thanks alot
How about an explanation of the meaning of higher order derivatives. What they signify in a real problem. How they might be of practical use. For instance, in mechanics, the first derivative of distance is velocity. The second derivative of distance - or, that is, the first derivative of velocity - is acceleration. What next? Think about it.
Can i ask a question, the example number 3 in getting the 3rd derivative of f(x) in the 3rd dx why did u rationalize it and didn’t rationalize the 2nd dx f(x)? It can be simplified also as 1/2•square root of x
same!!! annoying when the teachers only show easy ass examples and explain easy ones but then give super hard versions on the test or homework without explaining or teaching how
I have a question.. What will be the third derivative if the second derivative is a single number? Cuz in the second derivative i got +10, what will be the third one now??
There is some functions if you want to take many derivatives if you can. A good example would be y=2^x. The nth derivative of that function is y^(n)=2^x(ln(2))^n. The 50th derivative is y^(50)=2^x(ln(2))^50
There will always be a pattern. Usually the questions with the 56th derivative include sin or cos but if it were x^42, then we would know that the derivative would result in 0 because every time we took a derivative, the exponent got subtracted by 1
hello guys, can someone explain to me why we need to multiply (-1) to ycos(xy) / 1-xcos (xy) on both numerator and denominator ? i hope someone help me with this one. 😅
Sometimes I just wing it and I end up stressing so much during tests so I write my name on the paper and hand it in without any answers filled (meanwhile its 5 minutes into the exam) every other student in my class stops and stares at me, while my teacher stops me and whispers "You didn't write anything on your exam...". So I tell him "Yeah, I don't know anything...". Even though he insists I try the problems for part marks, I tell him it would only make my situation worse. My life has become a huge fucking mess, I'm 28 and still in night school. My friends stopped talking to me, and every family member won't lend me any money over how much of a disgrace I am. If you're looking for a job in Vermont, I work at a KFC off the highway. Names Andy, please don't be like me.
Tang Tang are you okay? I see you’re going through very tough times but now isn’t the time to give up!! Show the people who left you that you can make IT! At least you’re in school trying... that shows you made the first step to improving your life.
@@tangtang8486 Hey dude, some part of your story really hit home. I'm dumb as hell and even passed a blank paper too. I'm younger than you tho, but nevertheless, you're still young too! This is a low point in your life right now, but I know you have it in you to push further and get back on your feet! I'm rooting for you dude, your life's not over yet. You can do this : )
The derivative of the natural log of x, or ln(x), would be 1/x. And the derivative of e^x is just the same thing, e^x. Those are some rules you learn later on in calculus. If you were asking about the number e and not the function e^x, then the derivative is just 0 since the number e is a constant and the derivative of any constant is just 0. Hope that helps!
Vauron I would like to point out that you CAN use the quotient rule to solve 5/(x^2). The quotient rule is: (LH’-HL’)/(L^2). I like to write my terms down so I will do that here: H = 5; H’ = d/dx 5 = 0; L = x^2; L’= d/dx x^2 = 2x. Now we substitute those values in to get: [(x^2 * 0) - (5 * 2x)] / (x^2)^2. Simplify: -10x/(x*x*x*x). We have an x on top and bottom so they are equal to one and cancel. We are then left with -10/x^3. The quotient rule is just a different way of writing the product rule and vice versa. Afaik, any equation that can be differentiated with the product rule can be differentiated with the quotient rule. Hope this helps! (Any questions or misplaced steps please tell me so I can help future people if they also have the same question)
