I thought that would be funny, and I kinda still do, but I also feel like it was mean. You are an intelligent woman who has taken the time to explain a difficult subject and have probably helped a number of students who were struggling. Anyways I don't know if you will even read these comments, but if you do i would like to apologize.
i think the second derivative is wrong..lower time the derivative of upper - upper times the derivative of lower all over lower squared right?? in your video you take the derivative of upper first..is that correct?? :D just asking.. :D in 4:37
Do you go to a boring lecture and it seems like the teacher does not understand. This is how i feel I learn more from that tutor guy on you tube than any college I have attended
Curve Sketching in calculus is a very important tool and professor Christine Breiner explains this concepts very well for all students in mathematics.
this professor explained this perfectly!
That video was great! Thank you Christine, you did an awesome job :)
Great explanation!! Thank you :)
That was amazing explanation.😊
This professor is friggin awesome!
Thank you so much this helped me sooooo much=)
thank you christine
I thought that would be funny, and I kinda still do, but I also feel like it was mean. You are an intelligent woman who has taken the time to explain a difficult subject and have probably helped a number of students who were struggling. Anyways I don't know if you will even read these comments, but if you do i would like to apologize.
Can you please explain the graph of x/1+x^3
you the real MVP
Holy cow, you explained this SO well! Thank you for posting this video!!
Why did she use the numerator to get the critical points?
Nice!
Please upload about CISSOIDS,CUSPS........
borned 13 year later to understand
By the time you came back I was still writing the equation lol, great explaination nonetheless!
that's what pause button invented for
@@torontoboy8162 then, why she gone? as you said, we can stop it. that she went away is pointless.
How can 2x=0 b 0
0 divided by 2 is 0
i think the second derivative is wrong..lower time the derivative of upper - upper times the derivative of lower all over lower squared right?? in your video you take the derivative of upper first..is that correct?? :D just asking.. :D in 4:37
Dorothea Waje No it's correct, work it out.
I think the second derivative is wrong. I think because i don't know why you didn't took the derivative of (1+x^2)^2
Julio Rosales she has done it correctly....refer to quotient rule
i can draw this with only f and f' no need f''
Do you go to a boring lecture and it seems like the teacher does not understand. This is how i feel I learn more from that tutor guy on you tube than any college I have attended
I hate this section so much :(
I'm sorry, but the numerator in the second derivative is wrong
Definitely not. She solved it correctly.
@@lulu4327 lulz
btw this is a wrong graph for this function
No it's not.
this is being taught in MIT IN India the hIgh school students have to study more than this for "IIT JEE"
Your sure this is MIT this is wrong