QuestionFind the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=\frac{11}{x^{2}}$, simplifying your answer.

Studdy Solution
implify the fraction by cancelling out the $h$ in the numerator and the denominator.
$$\frac{f(x+h)-f(x)}{h}=\frac{-22x-11h}{(x+h)^{2}x^{2}}$$The difference quotient for $f(x)=\frac{11}{x^{2}}$ is $\frac{-22x-11h}{(x+h)^{2}x^{2}}$.