Inflection points and stationary points are not necessarily the same point. A function could have a stationary point, or an inflection point, or a stationary point coinciding with an inflection point. In the case of y=x^3, the inflection point is also a stationary point, because both its first and second derivatives are zero. In the case of y=tan(x), the inflection point occurs at every multiple of x=pi. But this is not a stationary point, because the function's derivative doesn't get to zero. The 2nd derivative is zero, but the 1st derivative is 1.
@@carultch Thanks for the answer, Carl! It's been quite some time, but I think your answer is awesome and I hope that it will help many people in the future! :)
Thanks for giving us free lectures
Hi Eddie! :)
I love Your lectures! They are awesome to revise what I've learned and also learn few interesting facts :) Thank You very much for that!
Inflection points and stationary points are not necessarily the same point. A function could have a stationary point, or an inflection point, or a stationary point coinciding with an inflection point.
In the case of y=x^3, the inflection point is also a stationary point, because both its first and second derivatives are zero.
In the case of y=tan(x), the inflection point occurs at every multiple of x=pi. But this is not a stationary point, because the function's derivative doesn't get to zero. The 2nd derivative is zero, but the 1st derivative is 1.
@@carultch Thanks for the answer, Carl! It's been quite some time, but I think your answer is awesome and I hope that it will help many people in the future! :)
Your circles are sooooo perfectly drawn... How does a beginning teacher practise for that? ^o^
Hey Eddie woo first to comment please reply if possible
that dude on the bottom right scrolling thru facebook
second, also what grade level is this?
HSC Mathematics (Australia)
omg its 2pm's ok taecyeon twin
10:50 - 11:03
Wait why can't you put plus and minus...?
Lol and the not so subtle-subtle tone seems to be implying exactly that
That girl looks cutely shy.