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.