Chapter 2.4, Problem 12P

(a)

To determine

A graph for natural logarithm function.

(b)

To determine

To show the value of $\text{ln}ab$ is $\left(\text{ln}a+\text{ln}b\right)$ and the value of $\text{ln}{a}^b$ is $b\text{ln}a$ .

(c)

To determine

To show that the value of $\frac{d}{dx}\text{ln}x$ is $\frac{1}{x}$ .

(d)

To determine

To show the approximate value of $\text{ln}\left(1+x\right)$ is $x$ .