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Concavity & inflection points challenge

The first derivative of a function  g ~g~ is given by
g(x)=2(x0.2)\qquad g\,^\prime(x)=2(x-0.2)\,.
It is clear that  0.2 ~0.2~ is a critical number because  g(0.2)=0~g\,^\prime(0.2)=0\,. The value  g(0.2) ~g\,^{\prime\prime}(0.2)~ is
, which makes  g(0.2) ~g(0.2)~
.