Try another version of this question If ` f(x) = x^2/(9 -5 x) `, find ` f'( x ) `. Make sure to simplify your answer.
Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
For this problem, you need to differentiate a function that involves both polynomial and rational components. The function ` f(x) = x^2/(9 -5 x) ` requires the application of the quotient rule for derivatives: if `f(x)=\dfrac{j(x)}{g(x)}`, then`f^{\prime}(x)=\dfrac{j^{\prime}(x)g(x)-g^{\prime}(x)j(x)}{(g(x))^2}`.
Be sure your variables match those in the question `(18 x -5 x^2)/(9 -5 x)^2`