Question

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

Answer 1

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

Explanation:

`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