Any good examples showing $\displaystyle {d2y}/{dx2} $of max/min point can be 0?
Thanks.
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Any good examples showing $\displaystyle {d2y}/{dx2} $of max/min point can be 0?
Thanks.
y = ax +b
Try this one.
Hello, stupidguy!
Quote:
$\displaystyle \text{Any good examples showing }\frac{d^2y}{dx^2}\text{ of max/min point can be 0?}$
mr fantstic nailed it!
$\displaystyle y \:=\:x^4$ is shaped like a parabola, but rises more steeply
. . and is "fatter" near the origin.
Code:
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There is a minimum at (0,0).
The concavity is 0 because the curve "flattens" slightly there.
Here's another:
$\displaystyle
y = \frac x 2  \frac {sin 2 x} 4
$
You get
$\displaystyle
y' = sin^2 x
$
$\displaystyle
y'' = 2 sinx\ cosx
$
Attachment 18879
how did you plot a graph? did you use latex?