let ( f(x)=\frac{x^{2}(x - 9)^{2}}{(x^{2}+8)^{9}} ). use logarithmic differentiation to determine the…

let ( f(x)=\frac{x^{2}(x - 9)^{2}}{(x^{2}+8)^{9}} ). use logarithmic differentiation to determine the derivative ( f(x)= )

let ( f(x)=\frac{x^{2}(x - 9)^{2}}{(x^{2}+8)^{9}} ). use logarithmic differentiation to determine the derivative ( f(x)= )

Answer

Answer:

( \frac{2(x^{2}-9)^{2}(x^{2}+8)^{9}-18x^{2}(x^{2}-9)(x^{2}+8)^{9}+18x(x^{2}-9)^{2}(x^{2}+8)^{8}}{(x^{2}-9)^{4}} )