The function is $\"\"$ .

$\"\"$ is differentiable at all points because its a polynomial.

Differentiate $\"\"$ on each side with respect to $\"\"$ .

$\"\"$

$\"\"$ is a polynomial with all the positive coefficients thus, it is an increasing function.

An increasing function neither has a local minimum nor has a local maximum.

Graph :

Graph the function $\"\"$ :

$\"\"$

Observe the graph.

The function has a neither local minimum nor local maximum.

The function has no local minimum or local maximum value.