How do you find the inflection points for #f(x)=x^4# ?

Question

12708 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-10-25T03:41:07

The following is the definition of inflection points by James Stewart.

enter image source here

By taking derivatives,

#f(x)=x^4 Rightarrow f'(x)=4x^3 Rightarrow f''(x)=12x^2#

Since #f''(x) ge 0# for all #x#, #f# never changes its concavity.

Hence, #f# has no inflection point.

I hope that this was helpful.