Sketching a curve | MIT 18.01SC Single Variable Calculus, Fall 2010 

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 :)

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.

thank you christine

This professor is friggin awesome!

Great explanation!! Thank you :)

Holy cow, you explained this SO well! Thank you for posting this video!!

Thank you so much this helped me sooooo much=)

That was amazing explanation.😊

borned 13 year later to understand

you the real MVP

By the time you came back I was still writing the equation lol, great explaination nonetheless!

Why did she use the numerator to get the critical points?

Can you please explain the graph of x/1+x^3

Please upload about CISSOIDS,CUSPS........

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

Nice!

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

i can draw this with only f and f' no need f''

How can 2x=0 b 0

this is being taught in MIT IN India the hIgh school students have to study more than this for "IIT JEE"

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 :(

btw this is a wrong graph for this function

Your sure this is MIT this is wrong

I'm sorry, but the numerator in the second derivative is wrong