I've been looking all over the internet for an example like this one. Post more complicated examples like this one. Thanks for the help, your awesome!!
i can't believe this 13 year old video is the thing that is saving my ass for my test tomorrow. i could not understand the factoring part of these problems and now it's much more clear. thank you thank you thank you
(5x-10)^3 is a composition of two functions. One is x^3 and the other is 5x-10. When using the chain rule, you take the derivative of the outside function (in this case x^3) and leave the inside alone; so you get 3(5x-10)^2. Then you multiply it by the derivative of the inside function (in this case 5x-10), which is 5. So you get 3(5x-10)^2 multiplied by 5.
@Joanaavila1 (5x-1)^3 can be understood as 2 seperate entities, the outer one, which you conclude as u^3, and the inner one, which you set u= 5x-1. The product rule states that you must multiply both the outer, and inner dy/dx, so you must take the derivative of u^3, which in this case is 3(u)^2; plug in u=5x-1, and you'll get 3(5x-1)^2. Then, find the derivative of the u itself, which is 5 (remember u=5x-1). Multiply all of them and you're good to go!
you know , i sat in my seat for the past hour trying to figure out the last step (putting it in factor form) and i just couldn't get it!!But then I come across your video and wow, you make it look SO EASYY. Thank you so so so much. Because of you, I can pass my next test !!! Please keep up the good work!!
patrickJMT needs to be a Professor i have learned more in his videos than the whole semester in a lecture. Absolutely amazing, my teacher needs to see this before your videos make her obsolete
its part of the chain rule where you have to multiple the derivative of the term inside the bracket which is 5x-1. The derivative is therefore 5 and you multiply
omg patrick...tommorows my test...and i was looking through feeling like i know everytthing...then remembered the teacher said that we have to do complex product rules! i was like omg...i started panicking. Then i remembered you, and came to this video with a big smile. Now im leaving with a bigger SMILE! THANKS PATRICK WE LOVE YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Look up derivative of a constant and the power rule. Think of 5x^1 use the power rule on that by itself and you get 1*5 and then subtracted by the derivative of a constant, that was practice paying off mostly.
THANK YOU PATRICK!!!! The tricky part was a bit confusing to me, but you made it all simple and now I have more lines to work with!!!! you're a life saver!!!
THANK YOU SO MUCH you saved me from a lot of frustration. I kept wondering why i was not understanding the books answers...its because i was only trying to simplify, not factor.
to the 7 dislike and rest, ask if u have a query like others and don't dislike the effort of someone which is an absolute blessed work. patrickJMT thanku very much.
The best thing about your videos is that they are ALWAYS here. I have a second midterm tomorrow and this is just the refreshing I needed. Last time I used your videos to Do one last study session I got an 80 out of 100 (messed up on the small things, small errors, not the concepts :]) hopefully this time it goes just as well. Word problems have me worried though, I can't find any of your videos that use continuity as in growth or decay etc but I have my notes for that. THANK YOU!!
OMFG Thank you so much!!! I was stuck on t^9(t4 + 2)^5 on a hw assignment and i kept messing up but your tutorial helped clarify the steps. Thank you!!!
Because its the derivative of the inside of (5x-1)^3, since the chain rule requires you to do that aswell as the derivative of the outside. (5x-1)^3 = 3(5x-1)^2 * 5 just like in the video. if you still don't understand then i suggest visiting his website and checking out the videos about chain rule.
Dude! This is sooo helpful! I have summer homework for BC Calc, and I had a problem somewhat like this and the factoring out actually gave me the answer I needed! THANKSSSSSS. :D
Patrick, I need to understand this particular function. More specifically how to factor out and simplify negative rational exponents. I need as much detail as possible. Do you think you can post a video working this equation out for me? I'm not just trying to get you to do my homework. I know I don't have to use the chain rule for this one. Here it is: f(x)= (2x+5)/square root of x
Why did you repeat x^4 please explain. I thought that in chain rule, the values you have already worked on don't reappear in the formula. Like you already did the derivative of x^4 but then why did you put it again before (3)
Because in the chain rule you multiply the derivative of the outside (in this case d/dx [5x-1]^3 = 3[5x-1]^2) by the derivative of the inside (d/dx 5x-1 = 5) so you should have 3[5x-1]^2*5
srry didn't explain that well, it wasn't "new" to me i did factoring before (starting in grade 10) but the factoring i did was for simple quadratic equations, and then later on (advanced functions grade 12) the remainder theorem etc. so i know how to factor, but i was confused on how exactly he got the final answer using the factoring like when he was "cleaning" everything up and simplifying, so i wanted more practice on that, and that's why i asked for further videos on this
@changeisnowpeople that is wonderful then! i never said i was anything special that i recall. you can feel free to also make some videos and share your wonderful talents to the world. otherwise, you are just trollin' on the internets...
He took the derivative of (5x-1)^3 and then he took the derivative of the inside of the parenthesis, which is 5x-1. The derivative of this is 5. In other words, he used the chain rule: f(g(x)) multiplied by g'(x).
ah, I see you just factored out an x^3 without distributing things confused me at first, but then again I also have no sound. Thanks for a job well done.
