QuestionFind and simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=\frac{2}{x}$, where $h \neq 0$.

Studdy Solution
implify the expression by cancelling out $h$ in the numerator and denominator.
$$\frac{f(x+h)-f(x)}{h} = \frac{-2}{x(x+h)}$$The difference quotient for the function $f(x)=\frac{2}{x}$ is $\frac{-2}{x(x+h)}$.