Question

Calculate and simplify the difference quotient g(x+h)-g(x)---------------- h

Answer 1

To simplify this we have

`\begin{gathered} \frac{g(x\text{ + h) - g(x)}}{h}\text{ } \\ \frac{gx\text{ + gh - gx}}{h} \\ (gh)/(h) \\ =\text{ g} \end{gathered}`