Question

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

Answer 1

#20Given$f(x)=x^4+4x^3$Solution 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$\mathrm{Global\:Minimum}\left(-3,\:-27\right)$