What are all the points of inflection of $f(x)=(1/12)x^4-2x^2+15$ ?

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Answer 1 · 2017-01-19T09:18:04

$(+-2, 21/3)$ . See the Socratic graph, for these locations.

$f''=x^2-4=0, at x =+-2$ , and here

$f'''=2x=+-4 ne=0$ . So,

the POI are $(+-2, 21/3)$ .

graph{(1/12x^4-2x^2+15-y)((x+2)^2+(y-23/3)^2-.1)((x-2)^2+(y-23/3)^2-.1)=0x^2 [-40, 40, -20, 20]}

What are all the points of inflection of f(x)=(1/12)x^4-2x^2+15f(x)=(1/12)x^4-2x^2+15?