Chapter 4.1, Problem 12E

(a)

To determine

The sign of the function $f^{\prime }\left(2\right)$ from the given graph.

(b)

To determine

The sign of $f^{\prime }\left(x\right)$ in the interval $\left(1,3\right)$.

(c)

To determine

The sign of $f^{\prime }\left(4\right)$.

(d)

To determine

The sign of $f^{\prime }\left(x\right)$ in the interval $\left(3,6\right)$.

(e)

To determine

The sign of $f^{\prime }\left(7\right)$.

(f)

To determine

The sign of $f^{\prime }\left(x\right)$ in the interval $\left(6,9\right)$.

(g)

To determine

The sign of $f^{\prime }\left(x\right)$ in the interval $\left(9,12\right)$.