In exercise, find the relative extrema of the function.
f(x) = 1/8x^3 - 2x

is a relative maxima and is a relative minima.

Step-by-step explanation:

We have been given a function . We are asked to find the relative extrema of the given function.

First of all, we will find first derivative of the given function as:

Now, we will find the critical points by equating derivative to 0 as:

Noe, we will check on which intervals our given function is increasing or decreasing.

We know that when , then f is increasing and when , then f is decreasing.

Therefore, is a relative maxima and is a relative minima.

can you rephrase the question ? it is unclear : -)

step-by-step explanation: