Question

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

Answer 1

`x=0`

Explanation:

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`