Hi.
I am having difficulty understanding the difference between a vertical tangent or a cusp, and when they each occur. Can someone please describe to me the difference between the two and when you know they happen? Provide examples please. Thanks!
Hi.
I am having difficulty understanding the difference between a vertical tangent or a cusp, and when they each occur. Can someone please describe to me the difference between the two and when you know they happen? Provide examples please. Thanks!
consider two curves ...
$\displaystyle \textcolor{green}{y = \sqrt[3]{x}}$ has a vertical tangent and an inflection point at x = 0
$\displaystyle \textcolor{red}{y = |\sqrt[3]{x}|}$ has a cusp (a vertical tangent from both sides of x = 0), but no inflection point at x = 0