Question: Find the maximum point , the minimum point and the inflection points of = g ( x ) = x x 2 + b 2

Find the maximum point , the minimum point and the inflection points of =

g(x) =

x
x2+b2

g'(x) =

0

f has a local minimum value at x =

f has a local maximum value at x =

for x<0 , f has an inflection point at x =

for x>0 , f has an inflection point at x =

3b

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