What are the points of inflection, if any, of $f(x)=2x^4-8x$ ?

Question

1834 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-14T15:59:53

Since there is no change in concavity therefore there is no point of inflection

$f'(x)=8x^3-8$

$f''(x)=24x^2=0->x=0$

$(-oo,0)->+$ concave up

$(0,+oo)->+$ concave up

Since there is no change in concavity therefore there is no point of inflection

What are the points of inflection, if any, of f(x)=2x^4-8xf(x)=2x^4-8x?