At what values of x does f(x) = x⁴ - 8x² have a relative minimum

Solution:

The graph of the given function is presented below:

The graph above reveals two relative minima and one relative maximum. These are also known as local minima and local maxima.

The two relative minimum are at points B (-2, -16) and C(2, -16) while the relative maximum is at point A(0, 0).

If you observe these points, they have points that are above or below them on either side.

Hence they are known as local minima or maxima.

At what values of x does f(x) = x⁴ - 8x² have a relative minimum

Summary:

The values of x at which f(x) = x⁴ - 8x² have a relative minimum are -2 and 2