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graph in desmos and label points of inflection, critical points, local extremes, absolute extremes, etc

graph in desmos and label points of inflection, critical points, local extremes, absolute-example-1

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#20Given
f(x)=x^4+4x^3Solution points of inflection
\left(-2,\:-16\right),\:\left(0,\:0\right) critical points
\quad x=-3,\:x=0

local extremes
\mathrm{Minimum}\left(-3,\:-27\right)

absolute extremes
\mathrm{Global\:Minimum}\left(-3,\:-27\right)

graph in desmos and label points of inflection, critical points, local extremes, absolute-example-1
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