Chapter 12, Problem 25RE

a.

To determine

The intervals where the function $f\left(x\right)={\cos }^{2}x,\left(0\le x\le \pi \right)$ is increasing and where it is decreasing.

b.

To determine

The relative extrema of $f\left(x\right)={\cos }^{2}x,\left(0\le x\le \pi \right)$.

c.

To determine

The concavity of the function $f\left(x\right)={\cos }^{2}x,\left(0\le x\le \pi \right)$.

d.

To determine

The points of inflections of the function $f\left(x\right)={\cos }^{2}x,\left(0\le x\le \pi \right)$.