Graphing with Calculus

[AnotherBrownKid]

i learn from you better than my math teacher, not becuase your a better teacher, but because if i zone out, dont understand etc, i can rewind the video. unlike at school, if i dont pay attention, im screwed

[kymdavidxx]

I'd pick you over my math teacher any day.

[prvnpn216]

U really know how to teach maths in a way that even a layman could understand it

thanx

god bless you :)

[tangled277]

I love you.

[david4shure]

Actually, an inflection point is not necessarily when the second derivative is zero, but its when the second derivative changes sign.

[jdt471]

@david4shure f ' '(x) must be 0 or undefined at the inflection point. The problem at hand is a proof that the graph of f(x)=ax^2+bx+c has no inflection points. if you show that there are no points where f ' ' (x) =0 or is undefined then you have acomplished this because you have excluded any possible inflection point. the change of sign only matters if you have the undefined or 0 value because this it the only way for the sign to change.

[soonalover]

thanks

[akumar4747]

you are the best teacher because we can come to u at 3 am

[DownLoad2029]

thanks

[fenny121289]

Thank you sooooooo much!

[juhim]

you have a gift of teaching

thank you so much

i'm having such a hard time with calculus and i've learned so much from you

[asalad083]

you are helpfull man.. god help you too. amen

[TY3LUR]

This was super great. Thanks alot.

[yearnin4aburnin]

Thank You so much! I have learned more here , than in my Actual Class, and i'm doing summer session, its extremely helpful.Thank you !!!

[oh4611]

thankss

[Sargeizm126]

you can be my math teacher, ANYDAY!! :)

I learn so much more from you than my normal math teachers

[iluvjiyongx3]

thanks again! the bonus question was cool~ ^^

[aeternuslibertas]

easy, nice tutorial though

[AkashP4]

Thank you so much!