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

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Answer 1 · 2014-10-25T03:41:07

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

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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.