Given the function f(x) = x4 – 4r– 3, determine the absolute minimum value of f on the closed interval (-2,4).​

The absolute minimum of the function occurs at and is .

Explanation:

Statement is incorrect. Correct statement is presented below:

Given the function , determine the absolute minimum value of on the closed interval . First, we determine the first and second derivatives of the function.

First Derivative

(1)

Second Derivative

(2)

By equalizing (1) to zero, we solve for :

And we evaluated this result in (2):

According to criteria of the Second Derivative Test, we conclude that value of leads to an absolute minimum. The value of the absolute minimum is:

The absolute minimum of the function occurs at and is .