# How do you find the exact relative maximum and minimum of the polynomial function of #4x^8 - 8x^3+18#?

##### 1 Answer

Mar 19, 2016

Only an absolute minimum at

#### Explanation:

You will have relative maxima and minima in the values in which the derivate of the function is 0.

Assuming that we are dealing with real numbers, the zeros of the derivate will be:

Now we must calculate the second derivate to see what kind of extreme these values correspond:

which occurs at

No other maxima or minima exist, so this one is also an absolute minimum.