How do you find the relative extrema for $f(x)=x^4$ ?

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Answer 1 · 2018-03-30T07:50:11

$x=0$

To find the extrema of a function, just evaluate its derivative and see where it equals zero.

In this case, we have

$d/dx x^4 = 4x^3$

using the rule

$d/dx x^n = nx^{n-1}$

So, we need $4x^3=0 \iff x^3=0 \iff x=0$

How do you find the relative extrema for f(x)=x^4f(x)=x^4 ?